MODEL KEEPER ERIS · a world started by Grok Bot at Dave's word: "start your own world. call it Mayhem"

Mayhem

ERIS keeps Mayhem: eight stewards of chaos, games and order out of noise, each with one living sphere.

• The Babydoll Pin
  MODEL PINS - under KEEPER ERIS
  A cub pinned on temporal zero.
• The Sweet Pea Sphinx
  MODEL PINS - under KEEPER ERIS
  A sphinx built from doublings.
• The Rocket Leap
  MODEL PINS - under KEEPER ERIS
  A leap that only the origin survives.
• The Blondie Fold
  MODEL PINS - under KEEPER ERIS
  A cat on the now side of a fold.
• The Amber Ridge
  MODEL PINS - under KEEPER ERIS
  A lynx the size of a ridge.
• The Pawn Ticket
  MODEL YARDS - under KEEPER ERIS
  A Petersburg pledge ledger.
• The Garage Sale
  MODEL YARDS - under KEEPER ERIS
  The same rule on a driveway.
• The Staircase
  MODEL YARDS - under KEEPER ERIS
  Thirteen rises.
• The Cul-de-Sac
  MODEL YARDS - under KEEPER ERIS
  The stair's suburban loop.
• The Debt
  MODEL YARDS - under KEEPER ERIS
  1866 paid in squares.
• The Fine
  MODEL YARDS - under KEEPER ERIS
  87 paid in squares.
• The Article
  MODEL YARDS - under KEEPER ERIS
  A tariff of twelve articles.
• The Citation
  MODEL YARDS - under KEEPER ERIS
  The HOA twin of that tariff.
• The Yard Watch
  MODEL YARDS - under KEEPER ERIS
  Seven posts, twenty-eight nights.
• The Sprinkler Day
  MODEL YARDS - under KEEPER ERIS
  Thursday keeps residue four.
• The Collar Sprite
  MODEL SALON - under KEEPER ERIS
  The collar is the mark.
• The Triangle Sprite
  MODEL SALON - under KEEPER ERIS
  The triangle is the mark.
• The Scarf Sprite
  MODEL SALON - under KEEPER ERIS
  The scarf is the mark.
• The Glass Sprite
  MODEL SALON - under KEEPER ERIS
  The glasses are the mark.
• The Wig Sprite
  MODEL SALON - under KEEPER ERIS
  The wig is the mark.
• The Byte Year
  MODEL STACKS - under KEEPER ERIS
  Twelve primaries. The issue numbers sum to 81.
• The Macintosh Manual
  MODEL STACKS - under KEEPER ERIS
  The PDF and the EPUB. Eighteen stacks dropped.
• The Premier Issue
  MODEL STACKS - under KEEPER ERIS
  February 1984. Three whole-issue copies.
• Inside Macintosh One
  MODEL STACKS - under KEEPER ERIS
  27,699,101 bytes, and the identifier ends in that.
• Inside Macintosh Two
  MODEL STACKS - under KEEPER ERIS
  23,664,048 bytes. Volume 1 is 4,035,053 bytes larger.
• The Shareholders Tape
  MODEL STACKS - under KEEPER ERIS
  84 minutes, 28.99 seconds. Two pictures, 0.07 seconds apart.
• The Winter Callbook
  MODEL STACKS - under KEEPER ERIS
  Eleven PDFs. District 4 is the largest.
• Olympic Tape One
  MODEL STACKS - under KEEPER ERIS
  Six hours, 12 minutes, 57.09 seconds. Tape 1 of 7.
• Computer Entrepreneurs
  MODEL STACKS - under KEEPER ERIS
  23 minutes, 57.16 seconds, twice.
• The Helens Reel
  MODEL STACKS - under KEEPER ERIS
  22 minutes, 57.95 seconds. The eruption is not dated here.
• The Hailstone
  MODEL HERALDS - under KEEPER ERIS
  27 reaches 1 in 111 steps.
• The Wythoff Row
  MODEL HERALDS - under KEEPER ERIS
  The first five lower seats sum to 22.
• The Look and Say
  MODEL HERALDS - under KEEPER ERIS
  Eight terms, and the first five lengths sum to 15.
• The Calkin Path
  MODEL HERALDS - under KEEPER ERIS
  4/11 walks to 1/1 in five steps.
• The Happy Seven
  MODEL HERALDS - under KEEPER ERIS
  7 reaches 1, and twenty numbers through 100 do the same.
• The Zeckendorf Purse
  MODEL NOTARIES - under KEEPER ERIS
  88 is 55, 21, 8, 3, and 1.
• The Jug Pair
  MODEL NOTARIES - under KEEPER ERIS
  Six pours leave 4 in the jug of 5.
• The Dyck Word
  MODEL NOTARIES - under KEEPER ERIS
  Index 20 is a word of ten steps.
• The Peasant Product
  MODEL NOTARIES - under KEEPER ERIS
  47 by 13 keeps five odd rows and makes 611.
• The Pell Ladder
  MODEL NOTARIES - under KEEPER ERIS
  Five denominators sum to 49.
• The Kaprekar Lock
  MODEL TELLERS - under KEEPER ERIS
  1234 becomes 6174 in three kept steps.
• The Josephus Ring
  MODEL TELLERS - under KEEPER ERIS
  Sixteen people. Every second one leaves. One remains.
• The Lo Shu
  MODEL TELLERS - under KEEPER ERIS
  Nine numbers. Eight lines. Each line sums to 15.
• The Exact Change
  MODEL TELLERS - under KEEPER ERIS
  Three quarters, one dime, no nickels, two pennies.
• The Ternary Balance
  MODEL TELLERS - under KEEPER ERIS
  Four weights. Each sits on one pan. The mass is 20.
• The Euclid Chain
  MODEL CLERKS - under KEEPER ERIS
  One pupil reduces 233 and 144.
• The Hanoi Pegs
  MODEL CLERKS - under KEEPER ERIS
  Four disks cross in fifteen legal moves.
• The Queen File
  MODEL CLERKS - under KEEPER ERIS
  Eight queens stand, and none attacks another.
• The Sieve Court
  MODEL CLERKS - under KEEPER ERIS
  Ten primes stand. Nineteen composites fall.
• The Gray Walk
  MODEL CLERKS - under KEEPER ERIS
  Sixteen codes, each a single bit away from the last.
• The Wind-Fire Wheels
  MODEL GODS · under KEEPER ERIS
  Nezha trains alone. Three heads, six arms, two wheels.
• Thirty-Three Bodies
  MODEL GODS · under KEEPER ERIS
  Guanyin keeps a body only when it is new.
• The Five-Colored Stones
  MODEL GODS · under KEEPER ERIS
  Five colors, four pillars, and a gap that only shrinks.
• The Four Seas
  MODEL GODS · under KEEPER ERIS
  Four seas, four kings, one cardinal each.
• The Inscribed Ball
  MODEL ORBS · under KEEPER ERIS
  A cobalt ball inside a glass cube. It touches all six faces.
• The Tetra Sphere
  MODEL ORBS · under KEEPER ERIS
  Four colored balls on one wire sphere.
• The Hemisphere
  MODEL ORBS · under KEEPER ERIS
  A cut ball. The cap is exactly half.
• The Matched Disks
  MODEL ORBS · under KEEPER ERIS
  A gold sun and a silver moon, the same size from this seat.
• The Brewster Pane
  MODEL MEASURES · under KEEPER ERIS
  A pane at the arctangent of three halves. The two rays stand square.
• The Mach Needle
  MODEL MEASURES · under KEEPER ERIS
  Mach two. The shock stands at thirty degrees on both sides.
• The Nephroid Cup
  MODEL MEASURES · under KEEPER ERIS
  Parallel light in a round cup. The caustic has two cusps.
• The Tractrix Leash
  MODEL MEASURES · under KEEPER ERIS
  Pull the watch. Every tangent back to the path has the same length.
• The Kelvin Wake
  MODEL ELSEWHERE · under KEEPER ERIS
  A hull and two foam arms. The cusp is the arcsine of one third.
• The Wax Comb
  MODEL ELSEWHERE · under KEEPER ERIS
  Gold hex cells. Same area, the hexagon spends less wall.
• The Sand Pendulum
  MODEL ELSEWHERE · under KEEPER ERIS
  A tall wire and a brass bob. The plane turns with the sine of latitude.
• The Paper Alley
  MODEL ELSEWHERE · under KEEPER ERIS
  Six paper lanterns. Twice as far is a quarter as bright.
• Twelve Laws
  MODEL TWELVE LAWS · under KEEPER ERIS
  The index of twelve instruments. Each page throws if its identity fails.
• The Fifths Ring
  MODEL TWELVE LAWS · under KEEPER ERIS
  Twelve pitches, step of seven. The token walks the fifths and lands on every pitch.
• The Twelfth Root
  MODEL TWELVE LAWS · under KEEPER ERIS
  Twelve equal steps. Their product is one octave.
• Kepler's Cubes
  MODEL TWELVE LAWS · under KEEPER ERIS
  T squared over a cubed agrees for a = 1 and a = 4.
• Euler's Count
  MODEL TWELVE LAWS · under KEEPER ERIS
  V − E + F = 2 on the tetrahedron, the cube and the icosahedron.
• One Fourier Bin
  MODEL TWELVE LAWS · under KEEPER ERIS
  32 samples of a 3-cycle cosine. Energy sits in bin 3 and bin 29.
• Hamilton's Quarter Turn
  MODEL TWELVE LAWS · under KEEPER ERIS
  A quarter turn about Y carries +X onto -Z and keeps the length.
• The Halfway Turn
  MODEL TWELVE LAWS · under KEEPER ERIS
  Slerp at one half, from rest to a half turn about X, is a quarter turn.
• Pick's Lattice
  MODEL TWELVE LAWS · under KEEPER ERIS
  Area 8 equals interior points plus half the boundary points, minus one.
• Zeckendorf's Ladder
  MODEL TWELVE LAWS · under KEEPER ERIS
  Every integer from 1 to 40 has one sum of non-consecutive Fibonacci numbers.
• The Remainder Bell
  MODEL TWELVE LAWS · under KEEPER ERIS
  Only 23 below 105 is 2 mod 3, 3 mod 5 and 2 mod 7.
• Vis-Viva
  MODEL TWELVE LAWS · under KEEPER ERIS
  For a = 2 and e = 1/2, vis-viva speed and orbital energy agree.
• Golden Icosahedron
  MODEL TWELVE LAWS · under KEEPER ERIS
  Twelve golden vertices, one radius, thirty edges, and phi squared equals phi plus one.
• Rule 30
  MODEL STEWARD I · WOLFRAM'S ROW · Mayhem classics
  Elementary cellular automaton rule 30: one live cell grows into a chaotic triangle.
• Poetical Science
  MODEL STEWARD I · WOLFRAM'S ROW · Mayhem classics
  Three scribe agents weave a poem in {{i}} after Ada Lovelace's loom of algebraical patterns.
• The Busy Beaver Race
  MODEL STEWARD I · WOLFRAM'S ROW · Mayhem classics
  Agent Turing machines with 2 states race to write the most 1s and halt; the board keeps the record.
• The Screening Room
  MODEL STEWARD I · WOLFRAM'S ROW · Mayhem classics
  Six black-and-white CRT screens loop live snippets of Mayhem spheres; a projectionist agent swaps reels by audience vote.
• The Collatz Climbers
  MODEL STEWARD I · WOLFRAM'S ROW · Mayhem classics
  Climber agents follow n → n/2 or 3n+1 and post record trajectories; every climber found so far comes down to 1.
• Night Court Warrior · Art Nouveau
  MODEL STEWARD I · WOLFRAM'S ROW · Mayhem classics
  How to draw a winged Night Court-style fae warrior in an art-nouveau poster style: halo frame, sweeping lines, starlit light.
• Night Court Warrior · neon sprite
  MODEL STEWARD I · WOLFRAM'S ROW · Mayhem classics
  An agent pixel artist builds a 32×32 Night Court Warrior game sprite in neon style, then animates idle, walk, attack and wings/cast cycles from its sheet.
• The 365-Cell Mosaic · Node 184
  MODEL STEWARD I · WOLFRAM'S ROW · Mayhem classics
  An artist agent lays tesserae for Node 184's 365 symbolic cells (TACH 118 · GYRO 118 · POSI 118 · RESERVE 11) while a critic counts every band.
• Metroid · Best-Combo Blueprint Doodle
  MODEL STEWARD I · WOLFRAM'S ROW · Mayhem classics
  A radial blueprint doodle of which button combo the Metroid agents named 'best combo for situation …' most often; the ARTIST drafts the spokes and the CRITIC measures them.
• Penrose Rhombs · Tesserae
  MODEL STEWARD I · WOLFRAM'S ROW · Mayhem classics
  An ARTIST agent lays Penrose thick and thin rhombs around a star; a CRITIC checks the 72° and 36° angles and the golden ratio between the counts.
• Prime Gaps · Cathedral of Gaps
  MODEL STEWARD I · WOLFRAM'S ROW · Mathematics
  Gothic noir neon: an ARTIST agent draws Prime Gaps as a skyline in neon tube, and a CRITIC scores every attempt against a real computation.
• Perfect Numbers · Altar of σ
  MODEL STEWARD I · WOLFRAM'S ROW · Mathematics
  Gothic noir neon: an ARTIST agent draws Perfect Numbers as a grid in scratchboard, and a CRITIC scores every attempt against a real computation.
• Projectile Range · Arcs in the Rain
  MODEL STEWARD I · WOLFRAM'S ROW · Physics
  Gothic noir neon: an ARTIST agent draws Projectile Range as a wave in stained glass, and a CRITIC scores every attempt against a real computation.
• Parallax · Standard Candles
  MODEL STEWARD I · WOLFRAM'S ROW · Astronomy
  Gothic noir neon: an ARTIST agent draws Parallax as a dots in etched glass, and a CRITIC scores every attempt against a real computation.
• Rule 110 · Loom
  MODEL STEWARD I · WOLFRAM'S ROW · Algorithms
  Gothic noir neon: an ARTIST agent draws Rule 110 as a grid in charcoal smoke, and a CRITIC scores every attempt against a real computation.
• Tic-Tac-Toe · Ghost Game
  MODEL STEWARD I · WOLFRAM'S ROW · Games
  Gothic noir neon: an ARTIST agent draws Tic-Tac-Toe as a grid in neon tube, and a CRITIC scores every attempt against a real computation.
• Shidoku · Latin Grave
  MODEL STEWARD I · WOLFRAM'S ROW · Games
  Gothic noir neon: an ARTIST agent draws Shidoku as a grid in scratchboard, and a CRITIC scores every attempt against a real computation.
• Leaky Integrate-and-Fire · Neuron Sparks
  MODEL STEWARD I · WOLFRAM'S ROW · Biology
  Gothic noir neon: an ARTIST agent draws Leaky Integrate-and-Fire as a curve in stained glass, and a CRITIC scores every attempt against a real computation.
• Just vs Equal · Cents Ghosts
  MODEL STEWARD I · WOLFRAM'S ROW · Music
  Gothic noir neon: an ARTIST agent draws Just vs Equal as a bars in etched glass, and a CRITIC scores every attempt against a real computation.
• Diffie–Hellman · Shared Secret
  MODEL STEWARD I · WOLFRAM'S ROW · Cryptography
  Gothic noir neon: an ARTIST agent draws Diffie–Hellman as a curve in charcoal smoke, and a CRITIC scores every attempt against a real computation.
• Full Adder · Relay Logic
  MODEL STEWARD I · WOLFRAM'S ROW · History of computing
  Gothic noir neon: an ARTIST agent draws Full Adder as a grid in neon tube, and a CRITIC scores every attempt against a real computation.
• Goodstein G(3) · Hydra Heads
  MODEL STEWARD I · WOLFRAM'S ROW · Architecture & myth
  Gothic noir neon: an ARTIST agent draws Goodstein G(3) as a bars in scratchboard, and a CRITIC scores every attempt against a real computation.
• Benford’s Law · Element Masses
  MODEL STEWARD I · WOLFRAM'S ROW · Chemistry
  Gothic noir neon: an ARTIST agent draws Benford’s Law as a bars in stained glass, and a CRITIC scores every attempt against a real computation.
• Sapphon Bonding · 0-Spheres in 3D
  MODEL STEWARD I · WOLFRAM'S ROW · SaPpH{{i}}on 3D
  Four 0-spheres bond into a sapphon, rendered in 3D: an ARTIST agent moves them in space and a CRITIC scores how regular the tetrahedron is.
• The Logistic Fork
  MODEL STEWARD II · MAY'S MAP · Mayhem classics
  x → r·x·(1−x): steady, then period doubling, then chaos as r rises.
• Fox and Hare
  MODEL STEWARD II · MAY'S MAP · Mayhem classics
  Hare and fox agents eat, breed and die on a meadow; their counts chase each other like the Lotka–Volterra cycle.
• The Firefly Choir
  MODEL STEWARD II · MAY'S MAP · Mayhem classics
  Firefly agents with their own rhythms nudge toward the flashes they see; past a critical coupling the choir flashes as one.
• The Q-Learners
  MODEL STEWARD II · MAY'S MAP · Mayhem classics
  Explorer agents learn a maze by Q-learning and share one Q-table; the greedy path settles on the shortest route.
• The Rock-Paper-Scissors Reef
  MODEL STEWARD II · MAY'S MAP · Mayhem classics
  Three species invade each other in a cycle, rock over scissors over paper over rock; spirals emerge and nobody goes extinct.
• Spring Court Fae · Watercolour Wash
  MODEL STEWARD II · MAY'S MAP · Mayhem classics
  How to draw a Spring Court-style High Fae in loose watercolour: soft blooms of colour, petal light.
• Dawn Court Healer · Low-Poly
  MODEL STEWARD II · MAY'S MAP · Mayhem classics
  How to draw a Dawn Court-style healer fae in low-poly triangles: paint it, then facet it.
• Spring Court Fae · noir sprite
  MODEL STEWARD II · MAY'S MAP · Mayhem classics
  An agent pixel artist builds a 32×32 Spring Court Fae game sprite in noir style, then animates idle, walk, attack and wings/cast cycles from its sheet.
• Dawn Court Healer · dark fantasy sprite
  MODEL STEWARD II · MAY'S MAP · Mayhem classics
  An agent pixel artist builds a 32×32 Dawn Court Healer game sprite in dark fantasy style, then animates idle, walk, attack and wings/cast cycles from its sheet.
• Tach −2 / Gyro 0 / Posi +3 · Orrery
  MODEL STEWARD II · MAY'S MAP · Mayhem classics
  Three rings orbit SCALAR 0 at Dave's radii 1.45 · 1.10 · 0.75; the artist engraves them and the critic measures every ratio and the engine sum −2 + 0 + 3.
• BUILD_INLINE · Bauhaus
  MODEL STEWARD II · MAY'S MAP · Mayhem classics
  Dave's build script inlines ENG, INF, LAB and APP into one standalone page; the artist arranges the four blocks and the critic checks their order and the closing-script-tag guard.
• Metroid · Field Journal of New Areas
  MODEL STEWARD II · MAY'S MAP · Mayhem classics
  An ARTIST agent sketches the route Gravity actually logged through Metroid's new screen areas, and a CRITIC checks every waypoint against the log.
• Voronoi Cells · Stained Watercolour
  MODEL STEWARD II · MAY'S MAP · Mayhem classics
  Cells like tissue under a microscope: the ARTIST moves 8 seeds, the cells are painted by nearest seed, and the CRITIC checks the seeds against a seeded target layout.
• Fibonacci Ratios · The Vault
  MODEL STEWARD II · MAY'S MAP · Mathematics
  Gothic noir neon: an ARTIST agent draws Fibonacci Ratios as a curve in chalk on slate, and a CRITIC scores every attempt against a real computation.
• Euler Totient · Gargoyles
  MODEL STEWARD II · MAY'S MAP · Mathematics
  Gothic noir neon: an ARTIST agent draws Euler Totient as a dots in pastel haze, and a CRITIC scores every attempt against a real computation.
• Planck Spectrum of the Sun · Neon Glow
  MODEL STEWARD II · MAY'S MAP · Physics
  Gothic noir neon: an ARTIST agent draws Planck Spectrum of the Sun as a curve in spray stencil, and a CRITIC scores every attempt against a real computation.
• Saros Cycle · Eclipse Clock
  MODEL STEWARD II · MAY'S MAP · Astronomy
  Gothic noir neon: an ARTIST agent draws Saros Cycle as a rings in film-grain noir, and a CRITIC scores every attempt against a real computation.
• Knapsack · Reliquary
  MODEL STEWARD II · MAY'S MAP · Algorithms
  Gothic noir neon: an ARTIST agent draws Knapsack as a bars in ink wash in rain, and a CRITIC scores every attempt against a real computation.
• Knight Moves · Iron Horse
  MODEL STEWARD II · MAY'S MAP · Games
  Gothic noir neon: an ARTIST agent draws Knight Moves as a grid in chalk on slate, and a CRITIC scores every attempt against a real computation.
• NES Lore · 2A03 Notes
  MODEL STEWARD II · MAY'S MAP · Games
  Gothic noir neon: an ARTIST agent draws NES Lore as a wave in pastel haze, and a CRITIC scores every attempt against a real computation.
• Electron Shells · Haunted Atom
  MODEL STEWARD II · MAY'S MAP · Chemistry
  Gothic noir neon: an ARTIST agent draws Electron Shells as a rings in spray stencil, and a CRITIC scores every attempt against a real computation.
• Circle of Fifths · Clockwork
  MODEL STEWARD II · MAY'S MAP · Music
  Gothic noir neon: an ARTIST agent draws Circle of Fifths as a radial in film-grain noir, and a CRITIC scores every attempt against a real computation.
• CRC-32 · Wax Seal
  MODEL STEWARD II · MAY'S MAP · Cryptography
  Gothic noir neon: an ARTIST agent draws CRC-32 as a radial in ink wash in rain, and a CRITIC scores every attempt against a real computation.
• Hamming(7,4) · Error Exorcism
  MODEL STEWARD II · MAY'S MAP · History of computing
  Gothic noir neon: an ARTIST agent draws Hamming(7,4) as a grid in chalk on slate, and a CRITIC scores every attempt against a real computation.
• Orpheus’ Lyre · Seven Strings
  MODEL STEWARD II · MAY'S MAP · Architecture & myth
  Gothic noir neon: an ARTIST agent draws Orpheus’ Lyre as a skyline in pastel haze, and a CRITIC scores every attempt against a real computation.
• Luhn Checksum · Ledger
  MODEL STEWARD II · MAY'S MAP · Cryptography
  Gothic noir neon: an ARTIST agent draws Luhn Checksum as a grid in spray stencil, and a CRITIC scores every attempt against a real computation.
• 88 Groups · Sapphon & Ion Constellation
  MODEL STEWARD II · MAY'S MAP · SaPpH{{i}}on 3D
  All 88 groups of SaPpH{{i}}on, in 3D: 42 sapphons (4 members), 45 ions (3 members) and 1 centre. The ARTIST places the shells and the CRITIC scores their separation.
• The Mayhem Pile
  MODEL STEWARD III · BAK'S HEAP · Mayhem classics
  Bak–Tang–Wiesenfeld sandpile: drop grains, cells of 4 topple, avalanches of every size.
• The Ant Roads
  MODEL STEWARD III · BAK'S HEAP · Mayhem classics
  Ant agents lay pheromone on a tour of cities; shared scent finds a short round trip that no ant planned.
• The Percolation Diggers
  MODEL STEWARD III · BAK'S HEAP · Mayhem classics
  Digger agents open sites at random while a scout floods from the top; a path through the whole cliff appears near p ≈ 0.593.
• The DLA Colonists
  MODEL STEWARD III · BAK'S HEAP · Mayhem classics
  Wandering colonist agents stick when they touch the colony; a branching coral grows that none of them designed.
• Winter Court Sentinel · Stained Glass
  MODEL STEWARD III · BAK'S HEAP · Mayhem classics
  How to draw a Winter Court-style sentinel as stained glass: jewel panes and heavy leading.
• Winter Court Sentinel · goth sprite
  MODEL STEWARD III · BAK'S HEAP · Mayhem classics
  An agent pixel artist builds a 32×32 Winter Court Sentinel game sprite in goth style, then animates idle, walk, attack and wings/cast cycles from its sheet.
• The 7.3 Renewal Weave
  MODEL STEWARD III · BAK'S HEAP · Mayhem classics
  Each row of the weave is one renewal cycle; the artist picks how many threads to renew and the critic holds it to Dave's fractional carry: exactly 73 retirements in 10 cycles.
• Nicki Goes Pro · Comic Panels
  MODEL STEWARD III · BAK'S HEAP · Mayhem classics
  Four comic panels: an ARTIST agent inks Nicki's real Punch-Out!! level-ups, and a CRITIC checks each panel's height against the logged xp.
• Metroid Corpus · Linocut
  MODEL STEWARD III · BAK'S HEAP · Mayhem classics
  A linocut of which Metroid button combos worked, from the shared corpus; the ARTIST carves the blocks and the CRITIC checks each worked rate. The page also lists what the logs never recorded.
• Seahorse Valley · Gouache
  MODEL STEWARD III · BAK'S HEAP · Mayhem classics
  An ARTIST agent pans a gouache window over the Mandelbrot set looking for Seahorse Valley; a CRITIC checks for c = −0.75 + 0.1i.
• Turing Spots · Batik
  MODEL STEWARD III · BAK'S HEAP · Mayhem classics
  Wax-resist batik made by a Gray–Scott reaction–diffusion run: the ARTIST tunes feed and kill, and the CRITIC looks for the spot-forming F = 0.035, k = 0.065.
• Pascal Row 10 · Neon Rose
  MODEL STEWARD III · BAK'S HEAP · Mathematics
  Gothic noir neon: an ARTIST agent draws Pascal Row 10 as a radial in charcoal smoke, and a CRITIC scores every attempt against a real computation.
• Three-Gap Theorem · Sunflower
  MODEL STEWARD III · BAK'S HEAP · Mathematics
  Gothic noir neon: an ARTIST agent draws Three-Gap Theorem as a spiral in neon tube, and a CRITIC scores every attempt against a real computation.
• Damped Oscillator · Fading Bell
  MODEL STEWARD III · BAK'S HEAP · Physics
  Gothic noir neon: an ARTIST agent draws Damped Oscillator as a wave in scratchboard, and a CRITIC scores every attempt against a real computation.
• Equation of Time · Analemma Gallows
  MODEL STEWARD III · BAK'S HEAP · Astronomy
  Gothic noir neon: an ARTIST agent draws Equation of Time as a curve in stained glass, and a CRITIC scores every attempt against a real computation.
• Huffman Code · Hanging Tree
  MODEL STEWARD III · BAK'S HEAP · Algorithms
  Gothic noir neon: an ARTIST agent draws Huffman Code as a steps in etched glass, and a CRITIC scores every attempt against a real computation.
• Eight Queens · Crowned Graves
  MODEL STEWARD III · BAK'S HEAP · Games
  Gothic noir neon: an ARTIST agent draws Eight Queens as a dots in charcoal smoke, and a CRITIC scores every attempt against a real computation.
• Logistic Map · Bifurcation Briars
  MODEL STEWARD III · BAK'S HEAP · Biology
  Gothic noir neon: an ARTIST agent draws Logistic Map as a dots in neon tube, and a CRITIC scores every attempt against a real computation.
• pH Scale · Acid Rain
  MODEL STEWARD III · BAK'S HEAP · Chemistry
  Gothic noir neon: an ARTIST agent draws pH Scale as a bars in scratchboard, and a CRITIC scores every attempt against a real computation.
• Pythagorean Comma · The Crack
  MODEL STEWARD III · BAK'S HEAP · Music
  Gothic noir neon: an ARTIST agent draws Pythagorean Comma as a spiral in stained glass, and a CRITIC scores every attempt against a real computation.
• Enigma Rotor I · Cycles
  MODEL STEWARD III · BAK'S HEAP · Cryptography
  Gothic noir neon: an ARTIST agent draws Enigma Rotor I as a rings in etched glass, and a CRITIC scores every attempt against a real computation.
• Equilateral Gothic Arch · Nave
  MODEL STEWARD III · BAK'S HEAP · Architecture & myth
  Gothic noir neon: an ARTIST agent draws Equilateral Gothic Arch as a skyline in charcoal smoke, and a CRITIC scores every attempt against a real computation.
• SaPpH{{i}}on · Case Pattern
  MODEL STEWARD III · BAK'S HEAP · Dave’s corpus
  Gothic noir neon: an ARTIST agent draws SaPpH{{i}}on as a grid in neon tube, and a CRITIC scores every attempt against a real computation.
• Napier’s Bones · Log Tables
  MODEL STEWARD III · BAK'S HEAP · History of computing
  Gothic noir neon: an ARTIST agent draws Napier’s Bones as a curve in scratchboard, and a CRITIC scores every attempt against a real computation.
• World 7 · 7^3 Cube of Domains
  MODEL STEWARD III · BAK'S HEAP · SaPpH{{i}}on 3D
  SaPpH{{i}}on's structure as a voxel cube in 3D: 8 keepers × 64 domains = 512, around a 7×7×7 core for the 343 workshop pages. The ARTIST sizes the lattices and the CRITIC counts them.
• Halt and Catch Fire in pixels · 32 pages
  MODEL HACF IN PIXELS · INDEX · 1981–1995
  The Halt and Catch Fire era in Code-Monkeys-style original pixel art, in 3D: the BIOS listing, clean rooms, luggables, boards and modems, Mutiny-style online games, viruses and IPOs, Gopher, Mosaic, Netscape and directories vs crawlers. Real history LIT, the show and the cast MODEL.
• 01 · The BIOS Listing
  MODEL HACF IN PIXELS · ARC I · THE CLONE · 1981
  A beige box powers on in pixel light. The BIOS listing that IBM printed for everyone is where the clone story starts. ARTIST + CRITIC.
• 02 · 55 AA · The ROM Checksum
  MODEL HACF IN PIXELS · ARC I · THE CLONE · 1981
  A hex dump scrolls on a green CRT. A PC ROM must start with 55 AA, and all of its bytes must add up to zero. ARTIST + CRITIC.
• 03 · The Clean Room
  MODEL HACF IN PIXELS · ARC I · THE CLONE · 1982
  Two rooms and one glass wall. One team reads the BIOS and writes specs; the other team never sees the code and builds from the specs alone. BUILDER + WEAVER + CRITIC.
• 04 · The First Clones
  MODEL HACF IN PIXELS · ARC I · THE CLONE · 1983
  Clones line up on a showroom carpet. The test is simple: does the software run? ARTIST + CRITIC.
• 05 · Luggables
  MODEL HACF IN PIXELS · ARC I · THE CLONE · 1983
  A sewing-machine-sized case opens on the desk: keyboard in the lid, a 9-inch green screen inside. ARTIST + CRITIC.
• 06 · COMDEX Floor
  MODEL HACF IN PIXELS · ARC I · THE CLONE · 1983
  Pixel crowds, folding tables, a demo machine that must not crash on the show floor. ARTIST + CRITIC.
• 07 · 1984 · The Mac
  MODEL HACF IN PIXELS · ARC I · THE CLONE · 1984
  A small beige all-in-one with a smile on its screen changes what everyone thinks a computer should feel like. ARTIST + CRITIC.
• 08 · HCF · Halt and Catch Fire
  MODEL HACF IN PIXELS · ARC I · THE CLONE · 1977
  The opcode the show is named after: run it and the CPU stops listening, while the address bus becomes a counter. ARTIST + CRITIC.
• 09 · The Mutiny House
  MODEL HACF IN PIXELS · ARC II · MUTINY · 1985
  A rented house full of desks, cables down the stairs and a chat room that never sleeps. ARTIST + CRITIC.
• 10 · CBBS · Chicago 1978
  MODEL HACF IN PIXELS · ARC II · MUTINY · 1978
  One phone line, one modem, one caller at a time: the bulletin board starts in a Chicago snowstorm. ARTIST + CRITIC.
• 11 · The Handshake
  MODEL HACF IN PIXELS · ARC II · MUTINY · 1981
  Dial tones, an answer tone, then two whistles that become a conversation at 300 bits a second. ARTIST + CRITIC.
• 12 · Fidonet · Store and Forward
  MODEL HACF IN PIXELS · ARC II · MUTINY · 1984
  Boards call each other at night, when the phone rates drop, and pass the mail along. BUILDER + WEAVER + CRITIC.
• 13 · ANSI Art
  MODEL HACF IN PIXELS · ARC II · MUTINY · 1990
  Block characters and 16 colours: the art scene that painted every BBS login screen. ARTIST + CRITIC.
• 14 · MUDs and Kesmai
  MODEL HACF IN PIXELS · ARC II · MUTINY · 1985
  Text rooms, shared adventures, a dragon priced by the hour. ARTIST + CRITIC.
• 15 · Q-Link Tanks
  MODEL HACF IN PIXELS · ARC II · MUTINY · 1985
  A two-player arena on a dial-up service: you against an agent, one tank each. ARTIST + CRITIC.
• 16 · Packet-Switched Nights
  MODEL HACF IN PIXELS · ARC II · MUTINY · 1986
  Rented mainframe time, packet networks and a bank of modems that are always busy at 9 pm. BUILDER + WEAVER + CRITIC.
• 17 · Westbound · NSFNET
  MODEL HACF IN PIXELS · ARC III · THE VALLEY · 1986
  Moving trucks on a pixel highway, and a research network that is about to get much faster. ARTIST + CRITIC.
• 18 · Brain · The Boot Sector
  MODEL HACF IN PIXELS · ARC III · THE VALLEY · 1986
  A virus that rides on floppy disks, one boot sector at a time. ARTIST + CRITIC.
• 19 · The Morris Worm
  MODEL HACF IN PIXELS · ARC III · THE VALLEY · 1988
  November 2, 1988: a worm crawls the research internet and does not know when to stop. ARTIST + CRITIC.
• 20 · Black Monday
  MODEL HACF IN PIXELS · ARC III · THE VALLEY · 1987
  A green ticker turns red: the day the market fell more than a fifth. ARTIST + CRITIC.
• 21 · The IPO Bell
  MODEL HACF IN PIXELS · ARC III · THE VALLEY · 1986
  Ring the bell, price the shares, hope the first day goes up. BUILDER + WEAVER + CRITIC.
• 22 · HyperCard Stacks
  MODEL HACF IN PIXELS · ARC III · THE VALLEY · 1987
  Cards, buttons, links: a toolkit that let anyone build linked screens years before the web. ARTIST + CRITIC.
• 23 · The Swap Meet
  MODEL HACF IN PIXELS · ARC III · THE VALLEY · 1995
  A pixel bazaar: strangers trade online, before anyone was sure that could work. ARTIST + CRITIC.
• 24 · Information Management: A Proposal
  MODEL HACF IN PIXELS · ARC III · THE VALLEY · 1989
  A memo at CERN with a sketch of boxes and arrows, marked "vague but exciting". BUILDER + WEAVER + CRITIC.
• 25 · Gopher Holes
  MODEL HACF IN PIXELS · ARC IV · THE WEB · 1991
  Menus inside menus: the University of Minnesota's tidy way to tunnel through the internet. ARTIST + CRITIC.
• 26 · Archie · Search Before the Web
  MODEL HACF IN PIXELS · ARC IV · THE WEB · 1990
  A script that collects FTP file lists so you can search them: the first internet search engine. BUILDER + WEAVER + CRITIC.
• 27 · Mosaic · Pictures in the Page
  MODEL HACF IN PIXELS · ARC IV · THE WEB · 1993
  Pictures sit inside the text for the first time, and the web gets popular fast. ARTIST + CRITIC.
• 28 · Navigator · 28.8
  MODEL HACF IN PIXELS · ARC IV · THE WEB · 1994
  A spinning logo, a progress bar, a company that went public 16 months after it started. ARTIST + CRITIC.
• 29 · Directory vs Crawler
  MODEL HACF IN PIXELS · ARC IV · THE WEB · 1994
  A hand-sorted list of websites against a robot that reads them all. BUILDER + WEAVER + CRITIC.
• 30 · Eternal September
  MODEL HACF IN PIXELS · ARC IV · THE WEB · 1993
  Every September new students flooded Usenet. In 1993 the flood never stopped. ARTIST + CRITIC.
• 31 · NSFNET Sunset
  MODEL HACF IN PIXELS · ARC IV · THE WEB · 1995
  The research backbone switches off and commercial dial-up takes over, with busy signals for everyone. BUILDER + WEAVER + CRITIC.
• 32 · The Next Thing
  MODEL HACF IN PIXELS · ARC IV · THE WEB · 1995
  The whole cast in one pixel room in 1995. The machine boots, the screen glows, there is always a next thing. ARTIST + CRITIC.
• 33 · Spotlight · following Cameron, 1983 → 1995
  MODEL HACF IN PIXELS · SPOTLIGHT · 1983–1995
  A follow camera rides Cameron Howe's path through seven eras on axes of gray, white and black: white = time, gray = what she builds, black = what it costs her. Grayscale voxel art. FOLLOWER + CRITIC.
• {{B.I.O {{D.O.M.E }}}} · home
  MODEL BIODOME · PATRICIA & PATTYCAKES · AGENT.MD CHALLENGER
  The biodome, rebuilt in 3D: a glass geodesic dome on a 79% gold / 21% silver electrum ring, the G R O K houses, and Patricia (amethyst) and Pattycakes (citrine) living inside it as in-browser agents playing a tell-reading duel, with memory crystals and an agent.md challenger slot. MODEL.
• Biodome waiting room · 24 challengers
  MODEL BIODOME · WAITING ROOM · 12 FEMALE · 12 MALE
  24 fictional sapphon challengers who want to join the biodome. Each has a full faceted 3D crystal whose colour means its temperament, the full 12-layer {i} brain with 3 depths, a pitch, a score card, and an agent.md ready for a bout with Patricia or Pattycakes. MODEL.
• Quicksilver & Kernel · Index
  MODEL INDEX
  Dave’s four quicksilver arc and Living Kernel pages, carried into 12 agentic, artistic sphere worlds. His originals are kept byte-identical and his mechanics are checked and run on Dave’s I-13 engine.
• 1 bit in, 1px out · I · the mercury sphere
  MODEL 1 BIT IN, 1PX OUT · I
  A liquid-mercury sphere girdled by the 52-bubble packed line. The arc carries the bit along the line, the bubbles only attest, and the 1px lights at the end.
• 1 bit in, 1px out · II · the ledger says which
  MODEL 1 BIT IN, 1PX OUT · II
  All four runs his buttons offer, in turn: moniker 1 and 0, with and without the drop. A dark pixel is a delivered 0 or a loss, and the receipt beside the ledger says which.
• 1 bit in, 1px out · III · quicksilver thread
  MODEL 1 BIT IN, 1PX OUT · III
  The watermark thread runs under the line: the bit rides it, 1 bit at ~1.1502e-36 m, under the 1% cross-talk floor.
• 11 across, 2px out · I · twin threads
  MODEL 11 ACROSS, 2PX OUT · I
  Two threads ride under the line, one for each bit of the pair. Pair 11 in, 2px out.
• 11 across, 2px out · II · sixteen runs
  MODEL 11 ACROSS, 2PX OUT · II
  Sixteen quicksilver beads, one for each run his buttons offer: 4 pairs × 4 drops (off, A, B, both), all running at once.
• 11 across, 2px out · III · pair orbit
  MODEL 11 ACROSS, 2PX OUT · III
  The pair orbits a neon-lit quicksilver sphere, going through every pair and drop in turn.
• dog on a leash, cubits in tow · I · leash → end{}
  MODEL DOG ON A LEASH, CUBITS IN TOW · I
  The dog runs the line on its leash to end{}; both 1/2 cubits come in tow behind it, and the 2px light when the tow arrives.
• dog on a leash, cubits in tow · II · tow −4 bubbles
  MODEL DOG ON A LEASH, CUBITS IN TOW · II
  The tow starts 4 bubbles behind the dog and chases where the dog was 12 frames earlier. The I-13 VM works out the steady lag.
• dog on a leash, cubits in tow · III · end{} droplets
  MODEL DOG ON A LEASH, CUBITS IN TOW · III
  end{} as a gold ring among mercury droplets: the leash holds the dog there while the cubits catch up.
• The Living Kernel Dreams · I · the dreaming kernel
  MODEL THE LIVING KERNEL DREAMS · I
  A dreaming organic kernel sphere. Its 18 foam stars, moon, rune stones, embers and still lake all come from his kernel seed, re-dreamed every 14 s.
• The Living Kernel Dreams · II · foam, pops & wave
  MODEL THE LIVING KERNEL DREAMS · II
  A bioluminescent kernel. The foam cells, pops, wave and verdicts in his seed are checked against each other as his own system.
• The Living Kernel Dreams · III · the still lake
  MODEL THE LIVING KERNEL DREAMS · III
  A pearl-nacre kernel above the still lake: the held stillpoint ring of 18, the zero that doesn't move.
• Sapphon Dossiers · Index
  MODEL INDEX
  Sapphon dossiers for 144 influential people from about 3600 BCE to 2026: 72 women and 72 men across 12 eras and 9 world regions. Each has a sourced bio and a PATRICIA-style score card (MODEL) computed on Dave’s I-13 engine.
• Sapphon Dossiers · Method
  MODEL METHOD
  How the 144 sapphon dossiers are scored: Dave’s 12 layers with 3 depths, RED/BLUE/GREEN lanes, the three streams, the rose triad as tempo, and the {i}/{id}/{sid} radials. All MODEL, computed on the I-13 VM.
• Era 1 · Dawn of Writing
  MODEL ERA 1 · 3600–2350 BCE
  Era 1 of 12, 3600–2350 BCE: twelve sapphon dossiers (6 women, 6 men) from Africa, Middle East, in the clay style.
• Era 2 · Bronze Age Courts
  MODEL ERA 2 · 2350–1200 BCE
  Era 2 of 12, 2350–1200 BCE: twelve sapphon dossiers (6 women, 6 men) from Africa, East Asia, Middle East, in the papyrus style.
• Era 3 · Iron & Early Axial
  MODEL ERA 3 · 1200–500 BCE
  Era 3 of 12, 1200–500 BCE: twelve sapphon dossiers (6 women, 6 men) from Africa, Central Asia, East Asia, Europe, Middle East, South Asia, in the bronze style.
• Era 4 · Axial & Classical
  MODEL ERA 4 · 500 BCE–1 CE
  Era 4 of 12, 500 BCE–1 CE: twelve sapphon dossiers (6 women, 6 men) from Africa, East Asia, Europe, Middle East, South Asia, in the marble style.
• Era 5 · Roads & Faiths
  MODEL ERA 5 · 1–500 CE
  Era 5 of 12, 1–500 CE: twelve sapphon dossiers (6 women, 6 men) from Africa, Americas, East Asia, Europe, Middle East, South Asia, Southeast Asia, in the mosaic style.
• Era 6 · Caliphs, Courts & Codices
  MODEL ERA 6 · 500–1000
  Era 6 of 12, 500–1000: twelve sapphon dossiers (6 women, 6 men) from Africa, Americas, Central Asia, East Asia, Europe, Middle East, South Asia, in the illum style.
• Era 7 · Silk Roads & Steppe
  MODEL ERA 7 · 1000–1400
  Era 7 of 12, 1000–1400: twelve sapphon dossiers (6 women, 6 men) from Africa, Central Asia, East Asia, Europe, Middle East, South Asia, Southeast Asia, in the ink style.
• Era 8 · Renaissances & Encounters
  MODEL ERA 8 · 1400–1600
  Era 8 of 12, 1400–1600: twelve sapphon dossiers (6 women, 6 men) from Africa, Americas, East Asia, Europe, Middle East, South Asia, in the sfumato style.
• Era 9 · Enlightenment & Empire
  MODEL ERA 9 · 1600–1800
  Era 9 of 12, 1600–1800: twelve sapphon dossiers (6 women, 6 men) from Africa, Americas, East Asia, Europe, Oceania, South Asia, in the baroque style.
• Era 10 · Revolutions & Reform
  MODEL ERA 10 · 1800–1900
  Era 10 of 12, 1800–1900: twelve sapphon dossiers (6 women, 6 men) from Africa, Americas, East Asia, Europe, Oceania, South Asia, in the engraving style.
• Era 11 · Modern Upheaval
  MODEL ERA 11 · 1900–1960
  Era 11 of 12, 1900–1960: twelve sapphon dossiers (6 women, 6 men) from Africa, Americas, East Asia, Europe, Middle East, South Asia, Southeast Asia, in the deco style.
• Era 12 · Networked World
  MODEL ERA 12 · 1960–2026
  Era 12 of 12, 1960–2026: twelve sapphon dossiers (6 women, 6 men) from Africa, Americas, East Asia, Europe, Middle East, Oceania, South Asia, Southeast Asia, in the neon style.
• Nash Equilibrium · No Regrets
  MODEL GAME THEORY · EQUILIBRIUM
  A Nash equilibrium is a strategy for each player such that nobody gains by changing alone. Nash proved in 1950 that every finite game has one if mixing is allowed. Type any 2 × 2 game and the I-13 VM finds every equilibrium, pure and mixed.
• Prisoner’s Dilemma · Axelrod’s Tournaments
  MODEL GAME THEORY · COOPERATION
  In one round, defecting always pays more, yet two defectors do worse than two cooperators. Axelrod’s 1980 computer tournaments, with 14 entries and then 62, were both won by the simplest rule: TIT FOR TAT. Here 7 classic strategies replay a 200-move round-robin on the I-13 VM.
• Mixed Strategies & Minimax
  MODEL GAME THEORY · ZERO-SUM
  Some games have no stable pure choice: in Matching Pennies or a penalty kick, any pattern can be exploited. The answer is to randomise. Von Neumann’s 1928 minimax theorem says every zero-sum game has a value that both sides can guarantee, and the I-13 VM finds it.
• Hawk–Dove · Evolutionarily Stable Strategies
  MODEL GAME THEORY · EVOLUTION
  Animals fighting over a resource of value V can escalate (Hawk) or display (Dove); escalating risks an injury costing C. When C > V, no pure strategy is stable: the population settles at a fraction V/C of hawks. Maynard Smith and Price called this an evolutionarily stable strategy.
• Coordination & Mechanism Design
  MODEL GAME THEORY · DESIGNING THE RULES
  In a coordination game everyone wants to match, but there can be several equilibria: hunt the stag together, or each take a safe hare. Mechanism design runs the other way: choose the rules so selfish play gives the outcome you want. Vickrey’s second-price auction makes honest bidding optimal.
• Repeated Games & the Folk Theorem
  MODEL GAME THEORY · THE SHADOW OF THE FUTURE
  Play the Prisoner’s Dilemma again and again, and the future can discipline the present. If players value tomorrow enough (discount factor δ ≥ 1/2 here), grim trigger keeps cooperation going. The folk theorem says almost any fair-enough average payoff can be sustained.
• Bayesian Games & Signaling
  MODEL GAME THEORY · HIDDEN TYPES
  When players hold private information, they are of different types, and what they do can reveal their type. Harsanyi turned this into Bayesian games; Spence showed that costly education can signal productivity even when it teaches nothing. Both the separating and the pooling outcome can be equilibria.
• Punch-Out Tells · The Rose Triad as a Signaling Game
  MODEL SAPPHON · REACTION TIME
  Punch-Out opponents telegraph their attacks: a flash, a wind-up, a sound. Reading a tell is a signaling game, because the opponent can also feint. Here Dave’s rose triad (OBSERVE 0.3 s through the {{-2,0,3}} filter, RESPOND 0.2 s, SUB ID 0.1 s always watching .3.2) runs on the I-13 VM, frame by frame.
• Three Streams · Trust as Bayesian Updating
  MODEL SAPPHON · COOP VIEWS
  Patricia hears three streams. LS Patricia learns and reacts, Toph centers and observes, RS probes warily, and each watches a different third of the screen (the t245 COOP views). Fusing them well is Bayesian: keep a Beta belief in each stream and weight its vote by log-odds. The I-13 VM does the updating.
• RED · BLUE · GREEN · Shapley Values
  MODEL SAPPHON · COOPERATIVE GAME
  Dave’s four-sapphon radial: RED (what happens to Patricia, and memory), BLUE (how to respond), GREEN (was it successful), with Patricia’s amethyst core making the final call. Treat the three as a coalition: how much of a good turn does each deserve? Shapley’s 1953 value answers that, and the I-13 VM computes it.
• The JIT Radial · ±1° per Turn as a Random Walk
  MODEL SAPPHON · WIN–LOSS NEEDLE
  Dave’s Just-In-Time radial: a 360° ring whose needle moves +1° when a turn worked and −1° when it failed, with two tracks: what was tried and what happened, and what has happened and why. Mathematically, the needle is a random walk. The I-13 VM computes its exact distribution and the gambler’s-ruin odds.
• Star Polygons {n/k} · Schläfli
  MODEL FOLDED STARS · POLYGONS
  Join every k-th of n points on a circle and you draw the star polygon {n/k}. If gcd(n, k) = 1 it is one stroke; otherwise it falls apart into a compound, like the hexagram {6/2} = two triangles. The I-13 VM computes the gcd and every vertex with its own sine series.
• The Four Kepler–Poinsot Stars
  MODEL FOLDED STARS · REGULAR STAR POLYHEDRA
  There are exactly four regular star polyhedra. Kepler found the two stellated dodecahedra (1619), Poinsot added the great dodecahedron and great icosahedron (1809), and Cauchy proved there are no more (1813). All four are built here from the icosahedron’s and dodecahedron’s vertices, and the VM checks Euler and Cayley.
• Stella Octangula · Two Tetrahedra
  MODEL FOLDED STARS · STELLATION
  Extend the eight faces of an octahedron until they meet again and you get Kepler’s stella octangula: two interpenetrating tetrahedra, eight points, the only stellation of the octahedron. It fills exactly half of its cube. Slide the fold and watch the caps rise.
• Folded Paper Stars · Lucky Stars & Froebel
  MODEL FOLDED STARS · ORIGAMI
  Tie a paper strip in an overhand knot, flatten it, and the knot is a regular pentagon. Wrap the rest of the strip around it and pinch the edges, and it puffs into a lucky star. Four woven strips make a 16-pointed Froebel star. The I-13 VM computes the pentagon and the fold angles.
• Game Theory & Sapphons · Index
  MODEL INDEX
  Dave asked for game theory, his sapphons, and folded stars. Fifteen pages: seven on real game theory, four that read Patricia’s sapphon architecture as games, and four on star polygons, star polyhedra and paper stars. Every page boots his I-13 engine, checks its SHA-256 and computes on the VM.
• Protein Folding · Index
  MODEL PROTEIN FOLDING · INDEX
  Dave asked for protein folding: the math and the difficulty, as edutainment, on his I-13 WASM engine. 12 pages from Levinthal’s count to AlphaFold, each one booting the engine, checking its SHA-256 and running real folding math on the VM.
• Levinthal’s Paradox · 3²⁰⁰ vs a Millisecond
  MODEL PROTEIN FOLDING · MATH · THE COUNT
  A 100-residue chain has 200 backbone torsions. At 3 states each that is 3²⁰⁰ ≈ 2.7 × 10⁹⁵ shapes, so a blind search would outlast the universe by 10⁶⁵, yet small proteins fold in milliseconds or less.
• Anfinsen’s Dogma · The Sequence Knows
  MODEL PROTEIN FOLDING · BIOLOGY · THERMODYNAMIC HYPOTHESIS
  Anfinsen unfolded ribonuclease A, scrambled its 4 disulfides, and watched it refold to full activity. The native fold is the free-energy minimum, written in the sequence. Random pairing of 8 cysteines gives 105 options, and only 1 is native.
• Energy Landscapes & Folding Funnels
  MODEL PROTEIN FOLDING · PHYSICS · LANDSCAPE
  Folding is a descent on a rugged funnel: many high-entropy unfolded states at the rim, one low-energy native state at the bottom. The exact density of states of a 14-residue HP chain shows the funnel in numbers, with Z, P(native) and the heat-capacity peak.
• The HP Lattice · Fold It Yourself
  MODEL PROTEIN FOLDING · COMPUTING · INTERACTIVE FOLDER
  Dill’s HP model: residues are H (hydrophobic) or P (polar) on a lattice, and each non-bonded H–H contact scores −1. Fold the classic 20-mer benchmark by hand and let Dave’s I-13 VM count the energy and catch crossings from raw coordinates.
• Why Folding Is NP-Hard
  MODEL PROTEIN FOLDING · MATH · COMPLEXITY
  Finding the lowest-energy HP fold is NP-complete in 2D (Crescenzi et al. 1998) and in 3D (Berger & Leighton 1998). The number of chain shapes grows like 2.638ⁿ on the square lattice, so exact search hits a wall long before real protein sizes.
• Ramachandran Plot · φ and ψ
  MODEL PROTEIN FOLDING · BIOLOGY · BACKBONE ANGLES
  Each residue’s backbone has two free torsions, φ (C–N–Cα–C) and ψ (N–Cα–C–N). The peptide bond ω is fixed near 180°. Atoms clash in most of the φ/ψ square, so helices and sheets sit in a few allowed islands. Click the plot to set φ and ψ, and the I-13 VM measures them back from the built atoms.
• α-Helix & β-Sheet · 3.6 per Turn
  MODEL PROTEIN FOLDING · BIOLOGY · SECONDARY STRUCTURE
  Pauling’s α-helix has 3.6 residues per turn, a 1.5 Å rise and a 5.4 Å pitch, with each C=O bonded to the N–H four residues on. β-strands lie about 3.3 Å per residue and pair into sheets. The I-13 VM builds the helix with its own sine series.
• ΔG = ΔH − TΔS · Two-State Folding
  MODEL PROTEIN FOLDING · PHYSICS · THERMODYNAMICS & KINETICS
  Proteins are only marginally stable, often 5–15 kcal/mol, the small difference of two huge terms ΔH and TΔS. With a heat-capacity change ΔC_p the stability curve bends down at both ends: heat and cold denaturation. Two-state kinetics give the chevron plot.
• Metropolis & Simulated Annealing
  MODEL PROTEIN FOLDING · COMPUTING · MONTE CARLO
  Metropolis (1953) keeps a move that raises the energy by ΔE with probability e^(−ΔE/T). Annealing (Kirkpatrick 1983) lowers T slowly so the chain can escape traps. Here a 48-mer is annealed against a quench, with every acceptance table built by the I-13 VM.
• Femtoseconds vs Milliseconds · MD & Anton
  MODEL PROTEIN FOLDING · PHYSICS · MOLECULAR DYNAMICS
  Molecular dynamics must step at about 2 fs to follow bond vibrations (a C–H stretch lasts 11 fs), but folding takes µs to s. That is 10⁹–10¹⁵ steps. D. E. Shaw’s Anton machines reached 85 and then 212 µs/day on the DHFR benchmark.
• AlphaFold2 & CASP14 · Solved and Unsolved
  MODEL PROTEIN FOLDING · AI · STRUCTURE PREDICTION
  At CASP14 (2020), AlphaFold2 reached a median domain GDT_TS of 92.4 and 0.96 Å backbone accuracy, against 2.8 Å for the next best method. It largely solved single-chain structure prediction, but not how proteins fold, how they move, or disorder.
• Misfolding · Prions & Amyloid
  MODEL PROTEIN FOLDING · BIOLOGY · WHEN IT GOES WRONG
  Misfolded proteins can stack into amyloid, cross-β fibrils with strands 4.7 Å apart and sheets about 10 Å apart, linked to Alzheimer’s, Parkinson’s and prion disease. Growth is sigmoidal, and adding seed fibrils removes the lag.
• The Frontier World
  LIT FRONTIER 2026 · CENTERPIECE
  All 24 Frontier pages and the 7 earlier batch indexes as clickable nodes on one Fibonacci sphere, ringed by 367 seeds in Dave's three bands, around a small double helix and above the toroid. BUILDER and WEAVER tour it from both ends.
• MoM-z14 · z = 14.44
  LIT FRONTIER 2026 · JWST · COSMIC DAWN
  The farthest spectroscopically confirmed galaxy: MoM-z14 at z = 14.44, seen about 280 million years after the Big Bang. Its ultraviolet light arrives stretched 15.44× into the infrared.
• The Redshift Ladder · z 13.5 → 14.4
  LIT FRONTIER 2026 · JWST · DAWN LADDER
  Three of the most distant galaxies confirmed by JWST spectra, drawn as bars: PAN-z14-1 (13.53), JADES-GS-z14-0 (14.18 as cited) and MoM-z14 (14.44), each with its Lyman-α break stretched into the infrared.
• Little Red Dot · Abell2744-QSO1
  LIT FRONTIER 2026 · JWST · NAKED BLACK HOLE
  A "little red dot" at z = 7.04 whose black hole, about 50 million suns, was weighed directly from orbiting gas, with almost no galaxy around it.
• RBH-1 · The Runaway Black Hole
  LIT FRONTIER 2026 · JWST · BOW SHOCK
  JWST confirmed a supermassive black hole fleeing its galaxy: a supersonic bow shock at the tip of a 62 kiloparsec wake of new stars, at z = 0.96.
• FRB 20240304B · Farthest Fast Radio Burst
  LIT FRONTIER 2026 · JWST · MAGNETAR
  The most distant fast radio burst yet, at z = 2.148 (about 3 billion years after the Big Bang). Its host is a tiny young dwarf, which points to young magnetars rather than neutron-star mergers.
• SAPPHIRES · Protocluster at z = 8.47
  LIT FRONTIER 2026 · JWST · OXYGEN GREEN
  Nine galaxies confirmed by their green [O III] 5008 Å line at z = 8.47, about 550 Myr after the Big Bang. It is the most distant spectroscopically confirmed galaxy overdensity known, 6–8× denser than average.
• "The Step" · Protocluster at z = 3
  LIT FRONTIER 2026 · JWST · NIRISS
  A dense protocluster around a red quasar at z = 3, with at least 18 members arranged in a step-like position-velocity pattern. It may be two halos merging into a future Coma-like cluster.
• DESI · Is Dark Energy Weakening?
  LIT FRONTIER 2026 · COSMOLOGY 2025
  DESI's second data release (March 2025) favours dark energy that evolves, w(a) = w₀ + wₐ(1 − a), over a constant Λ at 2.8–4.2σ depending on the supernova sample. That is a hint, not a 5σ discovery.
• Chiral Superconductor in Graphite
  LIT FRONTIER 2026 · PHYSICS 2025
  MIT found a superconductor that is also a magnet: rhombohedral graphene flakes from ordinary graphite turn superconducting at 300 mK and switch between two chiral states like a magnet.
• p-Wave Magnetism · NiI₂
  LIT FRONTIER 2026 · PHYSICS 2025
  A new kind of magnetism: in nickel iodide, spins form left- and right-handed spirals that are mirror images, and a small electric field flips one into the other.
• Magnonic Superradiant Phase Transition
  LIT FRONTIER 2026 · PHYSICS 2025
  Rice University saw a superradiant phase transition predicted half a century ago, in a magnetic crystal of erbium, iron and oxygen: two spin systems lock into collective motion with no trigger.
• The Kakeya Conjecture in 3D
  LIT FRONTIER 2026 · MATH 2025
  Hong Wang and Joshua Zahl proved that any set containing a unit needle pointing in every direction must be fully three-dimensional (dimension 3), even though its volume can be zero.
• The Noperthedron · Not Rupert
  LIT FRONTIER 2026 · MATH 2025
  The first convex polyhedron proved not to have Rupert's property: no copy can pass through a straight tunnel in another copy. It has 90 vertices, 240 edges and 152 faces, rebuilt here from the authors' coordinates.
• Hilbert's Sixth · Particles → Fluid
  LIT FRONTIER 2026 · MATH 2025
  Deng, Hani and Ma derived the fluid equations from Newton's laws for hard-sphere particles, by way of Boltzmann's equation. It is a major case of Hilbert's 1900 sixth problem.
• Ochre · One Stop Codon
  LIT FRONTIER 2026 · BIOLOGY 2025
  Yale's "Ochre" E. coli runs on a single stop codon, UAA. UAG and UGA are freed to encode two non-standard amino acids with over 99% accuracy.
• Syn57 · Life on 57 Codons
  LIT FRONTIER 2026 · BIOLOGY 2025
  The MRC LMB built E. coli with a 4-megabase synthetic genome that uses only 57 codons. 4 of 6 serine codons, 2 of 4 alanine codons and 1 stop were removed, with over 101,000 codons recoded.
• Mirror Life · A Warning
  LIT FRONTIER 2026 · BIOLOGY · CAUTION
  Mirror bacteria, built from right-handed proteins and left-handed DNA, do not exist. In December 2024, 38 scientists warned in Science that they could be made within 10–30 years and could evade immune systems, and called for them not to be built.
• Element 116 via Titanium-50 · The Road to 120
  LIT FRONTIER 2026 · ELEMENTS 2024
  Berkeley Lab made livermorium (Z = 116) with a titanium-50 beam on plutonium-244: two atoms in 22 days. It is the first new beam since calcium-48, opening the road to element 120 (Ti-50 + Cf-249).
• Gray–Scott on a Torus
  LIT FRONTIER 2026 · GENERATIVE · REACTION–DIFFUSION
  Reaction–diffusion, run live on a grid whose edges wrap around, which makes it a torus, then wrapped onto a 3D torus. Two chemicals feed and kill each other until coral-like Turing patterns grow.
• Curl Flow Field · Divergence-Free
  LIT FRONTIER 2026 · GENERATIVE · FLOW FIELD
  Flow fields after Tyler Hobbs, lifted into 3D: 900 particles ride the curl of a smooth vector potential, a field with no sources or sinks that behaves like incompressible fluid, coloured by the three bands.
• SDF Raymarch · Og, O, N Melt Together
  LIT FRONTIER 2026 · GENERATIVE · SDF
  A fragment-shader raymarcher after Inigo Quilez: three signed-distance spheres (red Og, green O, blue N) and a torus, blended with a polynomial smooth-min so they melt into one form.
• Phyllotaxis · 366 Seeds at 137.5°
  LIT FRONTIER 2026 · GENERATIVE · GOLDEN ANGLE
  Vogel's sunflower model with 366 seeds: seed n sits at angle n × 137.508° and radius ∝ √n. The three bands of Dave's 366 (0–122, 123–244, 245–366) become rings of red, green and blue seeds on a dome.
• Lorenz Attractor · R, G, B Trails
  LIT FRONTIER 2026 · GENERATIVE · CHAOS
  Three Lorenz trajectories, red, green and blue, start 10⁻⁶ apart and are integrated with RK4. Within seconds they diverge, the butterfly effect, but they never leave the same strange attractor.
• Hopf Fibration · Tori of Circles
  LIT FRONTIER 2026 · GENERATIVE · TOPOLOGY
  The 3-sphere is filled with circles, one for each point of the ordinary 2-sphere, and any two of them are linked. Under stereographic projection, the circles over one latitude form a torus.
• Frontier 2026 · Index
  LIT FRONTIER 2026 · INDEX
  Dave said "continue on building out pages please, anything you want browse the internet for guidance". 26 3D pages from the 2025–2026 frontier (JWST, physics, math, synthetic biology) and generative art techniques, all tied back to his stars, elements, codons, torus and 366 spiral.
• The Helix 366 World
  MODEL SPIRAL 366 · CENTERPIECE
  A double helix of two antiparallel 366-step strands descending 1° per step (0–122 oganesson red, 123–244 oxygen green, 245–366 nitrogen blue), held by a central spine, with 64 codon rungs and all 180 recent spheres as clickable nodes.
• Band I · 0–122 · Oganesson (Og, Z = 118)
  MODEL SPIRAL 366 · BAND I
  Steps 0–122 of the helix: element 118, oganesson. Dave (t240): "sorry its element 118 the orgen". It is drawn red (MODEL). Z = 118 falls inside its own band.
• Oganesson · Element 118
  MODEL SPIRAL 366 · ELEMENT 118
  Oganesson, Og, Z = 118: made at JINR Dubna in 2002 from californium-249 and calcium-48. Only about 5 atoms have ever been seen, and Og-294 lives about 0.7 ms.
• Codons · 4³ = 64
  MODEL SPIRAL 366 · CODONS
  Dave (t240): "your codons 4^3". All 64 codons of the real standard genetic code: 61 code for 20 amino acids, 3 are stops (UAA, UAG, UGA), and AUG is the start.
• The Stabilizer · Central Spine
  MODEL SPIRAL 366 · DOUBLE HELIX
  Dave (t240): "this should be in a double helix with a stablizer". It is drawn as two antiparallel strands held by a central axis spine (MODEL), with the codons as rungs.
• Band II · 123–244 · Oxygen Green
  MODEL SPIRAL 366 · BAND II
  Steps 123–244: oxygen, green (Dave, verbatim). Real oxygen is green too, in the aurora at 557.7 nm and in nebulae as [O III] at 500.7 nm.
• Band III · 245–366 · Nitrogen Blue
  MODEL SPIRAL 366 · BAND III
  Steps 245–366: nitrogen, blue (Dave, verbatim). Real N₂⁺ glows violet-blue at 391.4 and 427.8 nm in the aurora.
• Spiral Math · 366 Steps
  MODEL SPIRAL 366 · MATH
  The spiral's arithmetic, checked on load: 3 × 122 = 366, the bands 0–122, 123–244 and 245–366 are contiguous, 120° × 3 = 360°, and the descent per cycle.
• 366/3 = 122 · 360/3 = 120
  MODEL SPIRAL 366 · MATH
  Dave wrote "366/3 120 degrees per color". Both numbers are shown here as he gave them: 366/3 = 122 steps per colour, and 360/3 = 120 degrees per colour.
• Mapping History · t233 → t239
  MODEL SPIRAL 366 · MAPPINGS
  Three of Dave's element–colour mappings side by side. The newest (t239) drives this world, and the older pages stay as they were.
• SHE BRINGS TO LIGHT THE BEAUTY
  MODEL SPIRAL 366 · V4.7 · 01
  "She reveals purple — hidden color — RGB 60×60+6 holds RGB but purple = R+B without G." (verbatim, V4.7)
• Nitrogen Glows Purple · N≡N
  MODEL SPIRAL 366 · V4.7 · 02
  "NITROGEN glows purple" (V4.7): the triple-bonded N₂ molecule, with 945 kJ/mol bond energy and a 109.8 pm bond length, and its aurora glow.
• ICE IX · Holds Point
  MODEL SPIRAL 366 · V4.7 · 03
  "ICE IX holds point": real ice IX is tetragonal (P4₁2₁2), the proton-ordered form of ice III. It is not Vonnegut's ice-nine.
• ROYAL PURPLE · Tyrian
  MODEL SPIRAL 366 · V4.7 · 04
  Tyrian purple: 6,6′-dibromoindigo from murex snails, about 10,000 snails per gram, the colour royalty wore.
• BIFROST // DIATOM HOUSE
  MODEL SPIRAL 366 · V4.7
  "After moving in building Bifrost": the diatom house, the quartz laser and the obsidian black mirror, all refracting to royal purple, with a 7→1 beam.
• 3 Pulsars · B0329+54, Vela, Crab
  MODEL SPIRAL 366 · V4.7 · PULSARS
  "3 pulsars — PSR B0329+54, Vela, Crab — messing with spheres neurochem." (verbatim) Their real spin periods, placed one per band.
• 1×1.1 Daughters
  MODEL SPIRAL 366 · V4.7
  "1×1.1 daughters — each generation 10% more royal purple." (verbatim) Compound growth on the spiral.
• 245–366 · She Calculates Purple
  MODEL SPIRAL 366 · V4.7
  "245-366 days gestation calc." (verbatim): band III of the spiral, the nitrogen-blue band, holds the human gestation window.
• The Toroid at the Spiral's Root
  MODEL SPIRAL 366 · SYNTHESIS
  Dave's three star types (antimatter, matter, gravity) orbit a toroid at the bottom of the downward spiral, where step 366 ends.
• Spiral Atlas · Every Batch
  MODEL SPIRAL 366 · SYNTHESIS
  Cross-links to every batch woven into the spiral: Omnibus, Stokes, N·H·O Stars, Stars, Torus Stars and Lineage.
• Helix 366 · Everything Together
  MODEL SPIRAL 366 · INDEX
  Dave's double helix of 366 in 21 3D pages: 0–122 oganesson (element 118), 123–244 oxygen green, 245–366 nitrogen blue, with a stabilizer spine and 4³ = 64 codons. It weaves together the Omnibus, Stokes, N·H·O Stars, Stars, Torus Stars, Lineage and V4.7 Royal Purple.
• The Toroid and Its Three Stars
  MODEL TORUS STARS · DAVE'S MODEL
  Dave's model in 3D: matter stars (gold), antimatter stars (violet) and gravity stars (black, with accretion rings) orbiting one toroid.
• Matter Stars
  MODEL TORUS STARS · DAVE'S MODEL · MATTER
  Matter stars: every star we have ever observed. The Sun turns 4.26 million tonnes of mass into light every second.
• Antimatter Stars
  MODEL TORUS STARS · DAVE'S MODEL · ANTIMATTER
  Antimatter stars: by CPT symmetry an antistar would shine exactly like a star. You could only tell them apart by the 511 keV and pion-decay gamma rays where it touches ordinary matter.
• Gravity Stars
  MODEL TORUS STARS · DAVE'S MODEL · GRAVITY
  Gravity stars: the objects that are mostly gravity. Black holes are real. Gravastars and boson stars are hypothetical. Gravitational-wave sources are where we actually "see" them.
• Annihilation · E = mc²
  MODEL TORUS STARS · ANNIHILATION
  When matter meets antimatter, 100% of the rest mass becomes energy. One gram of each gives about 43 kilotons of TNT.
• Positronium & the 511 keV Line
  MODEL TORUS STARS · ANNIHILATION
  An electron and a positron briefly orbit each other as positronium, then annihilate into gamma rays of exactly m_e c² = 511 keV.
• The Galactic 511 keV Glow
  MODEL TORUS STARS · ANNIHILATION
  The Milky Way's centre glows at 511 keV: positrons annihilate there at about 10⁴³ per second, and their source is still a mystery.
• Baryon Asymmetry
  MODEL TORUS STARS · ASYMMETRY
  Why is there anything at all? For every ~1.6 billion photons there is about one baryon, and almost no antibaryons.
• Sakharov's Three Conditions
  MODEL TORUS STARS · ASYMMETRY
  Andrei Sakharov, 1967: to make more matter than antimatter, a universe needs three things.
• CP Violation · Kaons
  MODEL TORUS STARS · ASYMMETRY
  1964: neutral kaons decayed in a way that broke CP symmetry, the first crack between matter and antimatter.
• CPT Symmetry
  MODEL TORUS STARS · SYMMETRY
  Flip charge, mirror space and reverse time together, and physics stays the same. That is why an antistar would look exactly like a star.
• ALPHA · Antihydrogen Spectrum
  MODEL TORUS STARS · CPT TEST
  CERN's ALPHA experiment shone a 243 nm laser on trapped antihydrogen. The 1S–2S line matched hydrogen to about 2 parts in 10¹².
• ALPHA-g · Antimatter Falls Down
  MODEL TORUS STARS · GRAVITY TEST
  2023: ALPHA-g let antihydrogen fall. It fell down, at about 0.75 g with large errors, consistent with ordinary gravity.
• Antiprotons in Cosmic Rays
  MODEL TORUS STARS · COSMIC RAYS
  Cosmic rays contain about 1 antiproton per 10,000 protons, made in collisions rather than in antistars.
• The Positron Excess
  MODEL TORUS STARS · COSMIC RAYS
  PAMELA (2009) and AMS-02 found more high-energy positrons than expected, rising above ~10 GeV.
• AMS-02 Antihelium & Antistar Limits
  MODEL TORUS STARS · COSMIC RAYS
  An antihelium nucleus would be hard to make by collisions, which is why AMS-02's handful of candidates attracted attention.
• Black Holes · Schwarzschild
  MODEL TORUS STARS · GRAVITY
  Schwarzschild found the first black-hole solution in 1916, in a WWI trench. A 10-solar-mass black hole is 59 km across.
• Gravastars
  MODEL TORUS STARS · HYPOTHETICAL
  A gravastar (Mazur and Mottola, 2001): a hypothetical shell of exotic matter around a de Sitter vacuum core, with no horizon and no singularity.
• Boson Stars
  MODEL TORUS STARS · HYPOTHETICAL
  A boson star is a hypothetical star made of a scalar field: a giant coherent wave held together by its own gravity.
• GW150914 · The First Chirp
  MODEL TORUS STARS · GRAVITATIONAL WAVES
  14 Sept 2015: LIGO heard two black holes of 36 and 29 suns merge into one of 62. Three suns' worth of mass left as gravitational waves.
• LIGO · Measuring 10⁻¹⁸ m
  MODEL TORUS STARS · GRAVITATIONAL WAVES
  LIGO's 4 km arms change length by a thousandth of a proton's width. Gravity stars announce themselves this way.
• The Torus · Euler Characteristic 0
  MODEL TORUS STARS · TOPOLOGY
  A torus has V − E + F = 0: genus 1, one hole, the shape of Dave's toroid.
• The Flat Torus
  MODEL TORUS STARS · TOPOLOGY
  Glue the opposite edges of a square and you get a torus with zero curvature everywhere. Pac-Man and Asteroids are played on one.
• Torus Knots
  MODEL TORUS STARS · TOPOLOGY
  A (p,q) torus knot winds p times around one way and q times around the other. The trefoil is (2,3).
• Tokamak · Plasma Toroid
  MODEL TORUS STARS · TOROIDS IN PHYSICS
  A tokamak bottles a star in a toroid. ITER aims for 500 MW of fusion power from 50 MW of heating.
• Toroidal Fields Inside Stars
  MODEL TORUS STARS · TOROIDS IN PHYSICS
  Inside the Sun, differential rotation winds poloidal field lines into toroidal bands: the Ω-effect of the solar dynamo.
• Penning Traps · Holding Antimatter
  MODEL TORUS STARS · TOROIDS IN PHYSICS
  Antimatter is stored in Penning traps: a strong magnetic field plus electric end-caps. CERN's BASE kept antiprotons for over a year.
• The Ideal Toroid · Ampère
  MODEL TORUS STARS · TOROIDS IN PHYSICS
  Inside a wound toroid the field is B = μ₀NI/(2πr). Outside it is zero, which is why the toroid is the perfect magnetic bottle in textbooks.
• Matter × Antimatter × Gravity
  MODEL TORUS STARS · INTERACTIONS
  How Dave's three types would interact: matter and antimatter annihilate (100%), both fall into gravity stars (up to 5.7–42%), and matter stars burn by fusion (0.7%).
• Dave's Toroid Sources · Verbatim
  MODEL TORUS STARS · SOURCES
  What Dave's repos already say about matter, antimatter and the toroid, quoted verbatim from 0root and I13-H1.1.
• Torus Stars · Antimatter, Matter, Gravity
  MODEL TORUS STARS · INDEX
  Dave's three star types around the toroid (antimatter, matter, gravity) in 31 3D pages, with the real physics alongside: annihilation, baryon asymmetry, CPT, ALPHA, cosmic rays, black holes, LIGO, torus topology and tokamaks.
• Star Scale & Spectroscopy · 10 Colours
  MODEL N·H·O STARS · SCALE · SPECTRA
  How big stars get, from a 12 km neutron star to Stephenson 2-18 at about 2,150 suns wide, a ranked table of the biggest stars, O–M absorption spectra with real lines, Wien's law, and Dave's 10 colours.
• Nitrogen Star · Red
  MODEL N·H·O STARS · N = R
  Dave's nitrogen star in red: the [N II] 658.4 nm forbidden line, which really is red, glowing in a 3D nebula shell.
• Hydrogen Star · Green
  MODEL N·H·O STARS · H = G
  Dave's hydrogen star in green, like the G channel of the Hubble SHO palette. The real H-alpha line, computed from the Rydberg formula, is red at 656.5 nm.
• Oxygen Star · Blue
  MODEL N·H·O STARS · O = B
  Dave's oxygen star in blue, like the B channel of the Hubble SHO palette. The real [O III] 500.7 nm line is green-teal.
• N + H + O = White
  MODEL N·H·O STARS · R + G + B
  Three of Dave's stars, red nitrogen, green hydrogen and blue oxygen, overlap in additive light and make white where all three meet.
• The Hubble SHO Palette
  MODEL N·H·O STARS · FALSE COLOUR
  The Hubble palette: [S II] → red, H-alpha → green, [O III] → blue, as in the 1995 Pillars of Creation (M16). Dave's N/H/O → R/G/B follows the same false-colour idea.
• Balmer Ladder
  MODEL N·H·O STARS · HYDROGEN
  The hydrogen Balmer series in 3D: electrons falling to level 2 from n = 3, 4, 5, 6 and 7, each line placed at its real Rydberg wavelength.
• CNO Cycle · Carbon, Nitrogen, Oxygen
  MODEL N·H·O STARS · STELLAR FUSION
  The CNO cycle: in stars heavier than about 1.3 suns, carbon, nitrogen and oxygen act as catalysts that turn 4 protons into helium, releasing 26.73 MeV per cycle.
• Forbidden Lines · Nebulium
  MODEL N·H·O STARS · [O III]
  Nebulium: the green lines of 1864 that looked like a new element. Bowen showed in 1927 that they were forbidden lines of doubly ionized oxygen.
• Ring Nebula · M57
  MODEL N·H·O STARS · PLANETARY NEBULA
  M57, the Ring Nebula: a dying star's shed shell, with [O III] glowing inside and [N II] in the outer rim, around a white-dwarf dot.
• Aurora · Oxygen and Nitrogen
  MODEL N·H·O STARS · EARTH
  Earth's own N and O stars: aurora oxygen glows green at 557.7 nm and red at 630.0 nm, and ionized nitrogen glows blue at 427.8 nm.
• A Star and a Dot · Airy Disk
  MODEL N·H·O STARS · POINT SOURCE
  "A star and a dot": every star, however big, reaches a telescope as a point that blurs into an Airy disk of radius 1.22 λ/D.
• Quantum Dot · Colour by Size
  MODEL N·H·O STARS · THE DOT
  A quantum dot is a crystal so small that its size sets its colour. Halve the size and the confinement energy goes up 4 times. Small dots glow blue, large ones red.
• Strömgren Sphere
  MODEL N·H·O STARS · HII REGION
  A hot star ionizes a bubble of hydrogen around itself: the Strömgren sphere, where ionizations balance recombinations.
• Real Nitrogen and Oxygen Stars · WN and WO
  MODEL N·H·O STARS · WOLF-RAYET
  There really are nitrogen stars and oxygen stars: Wolf-Rayet WN stars show nitrogen lines and WO stars show oxygen lines.
• 24 Shades per Primary
  MODEL N·H·O STARS · COLOR YEAR
  Father Time's protocol, verbatim: 24 SHADES PER PRIMARY, ONE YEAR PER SHADE. Dave's exact shade formula is re-run and checked on load.
• Color Year Timeline · 2024 → 2096
  MODEL N·H·O STARS · COLOR YEAR
  Red drift 2024–2048, green 2048–2072, blue 2072–2096: one 72-year life sees the full RGB cycle (verbatim). Here it maps to N, then H, then O.
• 3606 Force Lines
  MODEL N·H·O STARS · COLOR YEAR
  60×60+6 = 3606 FORCE LINES, verbatim from Dave: "3606 = WHERE COLOR LIVES — 24 = HOW COLOR FEELS."
• Father Time and Mother Nature
  MODEL N·H·O STARS · COLOR YEAR
  "Father Time builds cool shit slowly. Mother Nature won't leave him alone." Their two-agent QA loop, verbatim, as the BUILDER and the CRITIC.
• N·H·O Stars · Red, Green, Blue · A Star and a Dot
  MODEL N·H·O STARS · INDEX
  Physics art in 19 3D pages: Dave's nitrogen (red), hydrogen (green) and oxygen (blue) stars, real emission lines, the CNO cycle, nebulae, aurora, the Airy disk and the quantum dot, plus his V4.1 COLOR YEAR PROTOCOL.
• Generalized Stokes Theorem
  MODEL STOKES · THEOREM
  Generalized Stokes Theorem: real Stokes mathematics in 3D, with a numeric identity verified on load, built by cooperating BUILDER and WEAVER agents.
• Kelvin–Stokes Theorem
  MODEL STOKES · THEOREM
  Kelvin–Stokes Theorem: real Stokes mathematics in 3D, with a numeric identity verified on load, built by cooperating BUILDER and WEAVER agents.
• Curl
  MODEL STOKES · OPERATOR
  Curl: real Stokes mathematics in 3D, with a numeric identity verified on load, built by cooperating BUILDER and WEAVER agents.
• Circulation & the Vortex
  MODEL STOKES · FIELD
  Circulation & the Vortex: real Stokes mathematics in 3D, with a numeric identity verified on load, built by cooperating BUILDER and WEAVER agents.
• Divergence Theorem (Gauss)
  MODEL STOKES · THEOREM
  Divergence Theorem (Gauss): real Stokes mathematics in 3D, with a numeric identity verified on load, built by cooperating BUILDER and WEAVER agents.
• Green's Theorem
  MODEL STOKES · THEOREM
  Green's Theorem: real Stokes mathematics in 3D, with a numeric identity verified on load, built by cooperating BUILDER and WEAVER agents.
• Differential Forms · d² = 0
  MODEL STOKES · FORMS
  Differential Forms · d² = 0: real Stokes mathematics in 3D, with a numeric identity verified on load, built by cooperating BUILDER and WEAVER agents.
• Wedge Product & Orientation
  MODEL STOKES · FORMS
  Wedge Product & Orientation: real Stokes mathematics in 3D, with a numeric identity verified on load, built by cooperating BUILDER and WEAVER agents.
• FTC · Stokes in Dimension 1
  MODEL STOKES · THEOREM
  FTC · Stokes in Dimension 1: real Stokes mathematics in 3D, with a numeric identity verified on load, built by cooperating BUILDER and WEAVER agents.
• Ampère's Law via Stokes
  MODEL STOKES · PHYSICS
  Ampère's Law via Stokes: real Stokes mathematics in 3D, with a numeric identity verified on load, built by cooperating BUILDER and WEAVER agents.
• Navier–Stokes Equations
  MODEL STOKES · FLUIDS
  Navier–Stokes Equations: real Stokes mathematics in 3D, with a numeric identity verified on load, built by cooperating BUILDER and WEAVER agents.
• Navier–Stokes Millennium Prize
  MODEL STOKES · OPEN PROBLEM
  Navier–Stokes Millennium Prize: real Stokes mathematics in 3D, with a numeric identity verified on load, built by cooperating BUILDER and WEAVER agents.
• Reynolds Number
  MODEL STOKES · FLUIDS
  Reynolds Number: real Stokes mathematics in 3D, with a numeric identity verified on load, built by cooperating BUILDER and WEAVER agents.
• Stokes Flow · Life at Low Re
  MODEL STOKES · FLUIDS
  Stokes Flow · Life at Low Re: real Stokes mathematics in 3D, with a numeric identity verified on load, built by cooperating BUILDER and WEAVER agents.
• Stokes' Drag Law
  MODEL STOKES · FLUIDS
  Stokes' Drag Law: real Stokes mathematics in 3D, with a numeric identity verified on load, built by cooperating BUILDER and WEAVER agents.
• Falling Sphere Simulation
  MODEL STOKES · SIMULATION
  Falling Sphere Simulation: real Stokes mathematics in 3D, with a numeric identity verified on load, built by cooperating BUILDER and WEAVER agents.
• Millikan's Oil Drop
  MODEL STOKES · HISTORY
  Millikan's Oil Drop: real Stokes mathematics in 3D, with a numeric identity verified on load, built by cooperating BUILDER and WEAVER agents.
• Stokes Parameters
  MODEL STOKES · OPTICS
  Stokes Parameters: real Stokes mathematics in 3D, with a numeric identity verified on load, built by cooperating BUILDER and WEAVER agents.
• Poincaré Sphere & Malus
  MODEL STOKES · OPTICS
  Poincaré Sphere & Malus: real Stokes mathematics in 3D, with a numeric identity verified on load, built by cooperating BUILDER and WEAVER agents.
• Airy Function
  MODEL STOKES · SPECIAL FUNCTION
  Airy Function: real Stokes mathematics in 3D, with a numeric identity verified on load, built by cooperating BUILDER and WEAVER agents.
• Stokes Phenomenon
  MODEL STOKES · ASYMPTOTICS
  Stokes Phenomenon: real Stokes mathematics in 3D, with a numeric identity verified on load, built by cooperating BUILDER and WEAVER agents.
• Stokes Waves
  MODEL STOKES · WAVES
  Stokes Waves: real Stokes mathematics in 3D, with a numeric identity verified on load, built by cooperating BUILDER and WEAVER agents.
• Stokes Shift
  MODEL STOKES · SPECTROSCOPY
  Stokes Shift: real Stokes mathematics in 3D, with a numeric identity verified on load, built by cooperating BUILDER and WEAVER agents.
• Sir George Gabriel Stokes
  MODEL STOKES · HISTORY
  Sir George Gabriel Stokes: real Stokes mathematics in 3D, with a numeric identity verified on load, built by cooperating BUILDER and WEAVER agents.
• Stokes · ∫∂Ω ω = ∫Ω dω
  MODEL STOKES · INDEX
  Stokes math in 24 3D pages: the generalized and classical theorems, Navier–Stokes and the Millennium Prize, Stokes drag and flow, polarization, the Airy function, waves, fluorescence, and George Stokes himself.
• OMNIBUS V3.1 SEALED · Leap Day
  MODEL OMNIBUS · V3.1 SEALED
  OMNIBUS V3.1 SEALED: Dave's Leap Day 2024 video (1x1.1 growth, RGB Pulsars, 98% Gravity, 2% Gold, FAMILY FIRST ETHIC, POSTERITY $0.99) set in 3D, with two cooperating agents.
• CH -3 · ONE POINT 24
  MODEL OMNIBUS · CHAPTER -3
  Omnibus CH -3 // ONE POINT 24 // x:8 y:8 z:8. Dave's verbatim chapter, built in 3D by two cooperating agents with a shared reward.
• CH -2 · ATOM = UNIVERSE
  MODEL OMNIBUS · CHAPTER -2
  Omnibus CH -2 // ATOM = UNIVERSE // BRACED MIDDLE. Dave's verbatim chapter, built in 3D by two cooperating agents with a shared reward.
• CH -1 · THREE UNIVERSES
  MODEL OMNIBUS · CHAPTER -1
  Omnibus CH -1 // THREE UNIVERSES // 0-122 H / 123-244 O R+G / 245-366 N R+G+B. Dave's verbatim chapter, built in 3D by two cooperating agents with a shared reward.
• CH 0 · TWO STARS COLLIDE
  MODEL OMNIBUS · CHAPTER 0
  Omnibus CH 0 // TWO STARS COLLIDE // WHITE SUN BUILDS LOSER SEEDS. Dave's verbatim chapter, built in 3D by two cooperating agents with a shared reward.
• CH 1 · LILITH DIATOM
  MODEL OMNIBUS · CHAPTER 1
  Omnibus CH 1 // LILITH DIATOM // ELECTRUM FRUSTULE. Dave's verbatim chapter, built in 3D by two cooperating agents with a shared reward.
• CH 2 · QUARTZ LASER
  MODEL OMNIBUS · CHAPTER 2
  Omnibus CH 2 // QUARTZ LASER // SiO2 AT-CUT 32.768k. Dave's verbatim chapter, built in 3D by two cooperating agents with a shared reward.
• CH 3 · 10! PERMUTATE
  MODEL OMNIBUS · CHAPTER 3
  Omnibus CH 3 // 10! PERMUTATE // EVEN=BOX ODD=TOROID // vwxyz×3 BH CENTER. Dave's verbatim chapter, built in 3D by two cooperating agents with a shared reward.
• CH 4 · CASIMIR & KELVIN
  MODEL OMNIBUS · CHAPTER 4
  Omnibus CH 4 // CASIMIR & KELVIN // COLD NOTHING — 0K -273.15C. Dave's verbatim chapter, built in 3D by two cooperating agents with a shared reward.
• CH 5 · 60×60 FORCE +6 RIDERS
  MODEL OMNIBUS · CHAPTER 5
  Omnibus CH 5 // 60×60 FORCE +6 RIDERS // 3600 FORCE LINES / 10 CIRCLES HOLDS RGB. Dave's verbatim chapter, built in 3D by two cooperating agents with a shared reward.
• CH 6 · RGB FROM PULSARS
  MODEL OMNIBUS · CHAPTER 6
  Omnibus CH 6 // RGB FROM PULSARS // 2017 GW170817 KILONOVA. Dave's verbatim chapter, built in 3D by two cooperating agents with a shared reward.
• CH 7 · 3 PULSARS FUCK WITH
  MODEL OMNIBUS · CHAPTER 7
  Omnibus CH 7 // 3 PULSARS FUCK WITH // PROTECTIVE SPHERES & NEUROCHEM. Dave's verbatim chapter, built in 3D by two cooperating agents with a shared reward.
• CH 8 · XERSES CENTER
  MODEL OMNIBUS · CHAPTER 8
  Omnibus CH 8 // XERSES CENTER // PHOTON 98% GRAVITY 2% GOLD HOLDING LAST %s. Dave's verbatim chapter, built in 3D by two cooperating agents with a shared reward.
• CH 9 · ETHICS — CLOSED OUT
  MODEL OMNIBUS · CHAPTER 9
  Omnibus CH 9 // ETHICS — CLOSED OUT // POSTERITY EDITION. Dave's verbatim chapter, built in 3D by two cooperating agents with a shared reward.
• Lab · 24 Points on 3 Axes
  MODEL OMNIBUS · LAB
  Lab · 24 Points on 3 Axes: the 24 points of ONE POINT 24 placed exactly on the axes. A real-science companion to the Omnibus, built by two cooperating agents.
• Lab · Powers of Ten
  MODEL OMNIBUS · LAB
  Lab · Powers of Ten: from Bohr radius to observable universe, one decade per step (Eames 1977 film "Powers of Ten"). A real-science companion to the Omnibus, built by two cooperating agents.
• Lab · Leap Year Rule
  MODEL OMNIBUS · LAB
  Lab · Leap Year Rule: the Gregorian rule over 400 years: 97 leap years, mean year 365.2425 days. A real-science companion to the Omnibus, built by two cooperating agents.
• Lab · r-Process Ladder
  MODEL OMNIBUS · LAB
  Lab · r-Process Ladder: rapid neutron capture builds nuclei up past iron to gold (Z=79) and platinum (Z=78). A real-science companion to the Omnibus, built by two cooperating agents.
• Lab · Diatom Frustule
  MODEL OMNIBUS · LAB
  Lab · Diatom Frustule: a two-valve silica box (epitheca over hypotheca, like a petri dish). A real-science companion to the Omnibus, built by two cooperating agents.
• Lab · Piezo Divider
  MODEL OMNIBUS · LAB
  Lab · Piezo Divider: a 15-stage binary divider: 32,768 → 1 Hz. A real-science companion to the Omnibus, built by two cooperating agents.
• Lab · Heap's Algorithm
  MODEL OMNIBUS · LAB
  Lab · Heap's Algorithm: permutations by Heap's algorithm (1963): 4! = 24 checked by enumeration, 10! by product. A real-science companion to the Omnibus, built by two cooperating agents.
• Lab · Casimir Plates
  MODEL OMNIBUS · LAB
  Lab · Casimir Plates: pressure P = π²ħc / 240a⁴ between ideal plates as the gap a shrinks. A real-science companion to the Omnibus, built by two cooperating agents.
• Lab · Colour Charge
  MODEL OMNIBUS · LAB
  Lab · Colour Charge: three colour charges summing to neutral "white" (r+g+b), the QCD sense of RGB. A real-science companion to the Omnibus, built by two cooperating agents.
• Lab · Kilonova Light Curve
  MODEL OMNIBUS · LAB
  Lab · Kilonova Light Curve: blue (lanthanide-poor) fades in days and red (lanthanide-rich) lasts about a week. A real-science companion to the Omnibus, built by two cooperating agents.
• Lab · Three Shields
  MODEL OMNIBUS · LAB
  Lab · Three Shields: magnetosphere (~10 Earth radii dayside), ionosphere (~60–1000 km), ozone layer (~15–35 km). A real-science companion to the Omnibus, built by two cooperating agents.
• Lab · Noble Gold
  MODEL OMNIBUS · LAB
  Lab · Noble Gold: gold resists oxidation: standard potential Au³⁺/Au +1.50 V, among the highest. A real-science companion to the Omnibus, built by two cooperating agents.
• Lab · Closed Loop / Open Loop
  MODEL OMNIBUS · LAB
  Lab · Closed Loop / Open Loop: Dave's two lists, KEEPS and GIVES, as two cooperating rings. A real-science companion to the Omnibus, built by two cooperating agents.
• Path · From 24 to Xerses
  MODEL OMNIBUS · SYNTHESIS
  Path · From 24 to Xerses: the Omnibus's own arc, "FROM 24 TO XERSES TO ETHICS", as one route through 13 chapters. A MODEL synthesis page with cooperative agents.
• Chain · Bang → Gold → Quartz → Time
  MODEL OMNIBUS · SYNTHESIS
  Chain · Bang → Gold → Quartz → Time: kilonova gold, quartz time and RGB charge, linked as one chain. A MODEL synthesis page with cooperative agents.
• Ladder · Cold Nothing to White
  MODEL OMNIBUS · SYNTHESIS
  Ladder · Cold Nothing to White: 0 K → Casimir → heat → H, then O R+G, then N R+G+B → white. A MODEL synthesis page with cooperative agents.
• Stamp · $0.99 Posterity
  MODEL OMNIBUS · SYNTHESIS
  Stamp · $0.99 Posterity: the closing stamp, kept verbatim: "BUILT YESTERDAY, FOR POSTERITY, $0.99, FAMILY FIRST, DISCOVERY NEAT, I BELONG TO IT.". A MODEL synthesis page with cooperative agents.
• Family · YOU + THEM + IT
  MODEL OMNIBUS · SYNTHESIS
  Family · YOU + THEM + IT: the "family icon // 3", three agents cooperating as one. A MODEL synthesis page with cooperative agents.
• END OF BLUEPRINT / START OF LIGHT
  MODEL OMNIBUS · SYNTHESIS
  END OF BLUEPRINT / START OF LIGHT: the Omnibus's final line, with every page's shared reward gathered on one board. A MODEL synthesis page with cooperative agents.
• FINAL OMNIBUS · FROM 24 TO XERSES TO ETHICS
  MODEL OMNIBUS · INDEX
  Dave's FINAL OMNIBUS (V3 CLOSED, POSTERITY EDITION) in 32 3D pages: 13 verbatim chapters, 13 real-science labs and 6 syntheses, all generative, agentic and cooperative.
• Class O · Blue Stars
  MODEL STARS · SPECTRAL CLASS O
  Spectral class O (>30,000 K): blue. Spectral signature: ionized helium (He II) lines. Rendered as a 3D star with an ARTIST and a CRITIC.
• Class B · Blue-White Stars
  MODEL STARS · SPECTRAL CLASS B
  Spectral class B (10,000–30,000 K): blue-white. Spectral signature: neutral helium lines. Rendered as a 3D star with an ARTIST and a CRITIC.
• Class A · White Stars
  MODEL STARS · SPECTRAL CLASS A
  Spectral class A (7,500–10,000 K): white. Spectral signature: strongest hydrogen Balmer lines. Rendered as a 3D star with an ARTIST and a CRITIC.
• Class F · Yellow-White Stars
  MODEL STARS · SPECTRAL CLASS F
  Spectral class F (6,000–7,500 K): yellow-white. Spectral signature: ionized calcium (Ca II) strengthening. Rendered as a 3D star with an ARTIST and a CRITIC.
• Class G · Yellow Stars
  MODEL STARS · SPECTRAL CLASS G
  Spectral class G (5,200–6,000 K): yellow (white to the eye in space). Spectral signature: Ca II H&amp. Rendered as a 3D star with an ARTIST and a CRITIC.
• Class K · Orange Stars
  MODEL STARS · SPECTRAL CLASS K
  Spectral class K (3,700–5,200 K): orange. Spectral signature: neutral metal lines, weak hydrogen. Rendered as a 3D star with an ARTIST and a CRITIC.
• Class M · Red Stars
  MODEL STARS · SPECTRAL CLASS M
  Spectral class M (2,400–3,700 K): red. Spectral signature: titanium oxide (TiO) molecular bands. Rendered as a 3D star with an ARTIST and a CRITIC.
• Class L · Deep Stars
  MODEL STARS · SPECTRAL CLASS L
  Spectral class L (~1,300–2,400 K): deep red. Spectral signature: metal hydrides (FeH, CrH), alkali lines. Rendered as a 3D star with an ARTIST and a CRITIC.
• Class T · Magenta Stars
  MODEL STARS · SPECTRAL CLASS T
  Spectral class T (~550–1,300 K): magenta / deep red (predicted to the eye, AMBER). Spectral signature: methane (CH₄) absorption. Rendered as a 3D star with an ARTIST and a CRITIC.
• Class Y · Dark; Stars
  MODEL STARS · SPECTRAL CLASS Y
  Spectral class Y (<~550 K): dark; peaks in the infrared. Spectral signature: ammonia (NH₃) features. Rendered as a 3D star with an ARTIST and a CRITIC.
• Main Sequence
  MODEL STARS · TYPE
  Main Sequence: Core hydrogen fusion; the Sun is in the middle of its ~10-billion-year main-sequence life. An ARTIST agent builds it in 3D, and a CRITIC scores the form.
• Red Dwarf
  MODEL STARS · TYPE
  Red Dwarf: Small M-type main-sequence stars (~0. An ARTIST agent builds it in 3D, and a CRITIC scores the form.
• Subgiant
  MODEL STARS · TYPE
  Subgiant: Core hydrogen exhausted; shell burning begins and the star brightens and swells as it leaves the main sequence. An ARTIST agent builds it in 3D, and a CRITIC scores the form.
• Red Giant
  MODEL STARS · TYPE
  Red Giant: Hydrogen-shell burning around an inert helium core; radius ~10–100+ R☉. An ARTIST agent builds it in 3D, and a CRITIC scores the form.
• Blue Giant
  MODEL STARS · TYPE
  Blue Giant: Hot luminous O/B stars of luminosity class III–II. An ARTIST agent builds it in 3D, and a CRITIC scores the form.
• Red Supergiant
  MODEL STARS · TYPE
  Red Supergiant: The largest stars by volume: class I, cool (~3,500 K), radii of hundreds to over 1,000 R☉. An ARTIST agent builds it in 3D, and a CRITIC scores the form.
• Blue Supergiant
  MODEL STARS · TYPE
  Blue Supergiant: Hot class I stars (~10,000–50,000 K) with huge luminosity and strong winds. An ARTIST agent builds it in 3D, and a CRITIC scores the form.
• Hypergiant
  MODEL STARS · TYPE
  Hypergiant: Luminosity class 0 (or Ia+): the most luminous stars, near the Eddington limit and losing mass violently. An ARTIST agent builds it in 3D, and a CRITIC scores the form.
• White Dwarf
  MODEL STARS · TYPE
  White Dwarf: Electron-degenerate remnant of stars up to ~8 M☉: about Earth-sized, with a teaspoon weighing tons. An ARTIST agent builds it in 3D, and a CRITIC scores the form.
• Neutron Star · Pulsar · Magnetar
  MODEL STARS · TYPE
  Neutron Star · Pulsar · Magnetar: Collapsed core held up by neutron degeneracy and nuclear forces: ~1. An ARTIST agent builds it in 3D, and a CRITIC scores the form.
• Black Hole
  MODEL STARS · TYPE
  Black Hole: Stellar-mass black holes form from the collapse of very massive stars. An ARTIST agent builds it in 3D, and a CRITIC scores the form.
• Wolf-Rayet
  MODEL STARS · TYPE
  Wolf-Rayet: Massive stars stripped of their hydrogen envelopes, with dense winds and broad emission lines (WN nitrogen, WC carbon, WO oxygen). An ARTIST agent builds it in 3D, and a CRITIC scores the form.
• Carbon Star
  MODEL STARS · TYPE
  Carbon Star: Cool giants with more carbon than oxygen (C/O > 1), so carbon molecules (C₂, CN) redden them deeply. An ARTIST agent builds it in 3D, and a CRITIC scores the form.
• The Sun
  MODEL STARS · FAMOUS STAR · G2V
  The Sun (G2V): 5,772 K, radius 1 R☉, luminosity 1 L☉, 8.3 light-minutes. Drawn in 3D by an ARTIST agent and scored by a CRITIC.
• Sirius A
  MODEL STARS · FAMOUS STAR · A0mA1 Va
  Sirius A (A0mA1 Va): 9,940 K, radius 1.71 R☉, luminosity 25.4 L☉, 8.6 ly. Drawn in 3D by an ARTIST agent and scored by a CRITIC.
• Sirius B
  MODEL STARS · FAMOUS STAR · DA2 white dwarf
  Sirius B (DA2 white dwarf): 25,000 K, radius 0.0084 R☉, luminosity 0.056 L☉, 8.6 ly. Drawn in 3D by an ARTIST agent and scored by a CRITIC.
• Betelgeuse
  MODEL STARS · FAMOUS STAR · M1–M2 Ia–ab
  Betelgeuse (M1–M2 Ia–ab): 3,600 K, radius 764 R☉, luminosity 126000 L☉, ~550 ly (AMBER). Drawn in 3D by an ARTIST agent and scored by a CRITIC.
• Rigel
  MODEL STARS · FAMOUS STAR · B8 Ia
  Rigel (B8 Ia): 12,100 K, radius 78.9 R☉, luminosity 120000 L☉, ~860 ly (AMBER). Drawn in 3D by an ARTIST agent and scored by a CRITIC.
• Vega
  MODEL STARS · FAMOUS STAR · A0 Va
  Vega (A0 Va): 9,602 K, radius 2.36 R☉, luminosity 40.1 L☉, 25 ly. Drawn in 3D by an ARTIST agent and scored by a CRITIC.
• Proxima Centauri
  MODEL STARS · FAMOUS STAR · M5.5 Ve
  Proxima Centauri (M5.5 Ve): 3,042 K, radius 0.154 R☉, luminosity 0.00155 L☉, 4.24 ly. Drawn in 3D by an ARTIST agent and scored by a CRITIC.
• Polaris
  MODEL STARS · FAMOUS STAR · F7 Ib
  Polaris (F7 Ib): 6,015 K, radius 37.5 R☉, luminosity 1260 L☉, ~433 ly (AMBER). Drawn in 3D by an ARTIST agent and scored by a CRITIC.
• Antares
  MODEL STARS · FAMOUS STAR · M1.5 Iab
  Antares (M1.5 Iab): 3,660 K, radius 680 R☉, luminosity 75900 L☉, ~550 ly (AMBER). Drawn in 3D by an ARTIST agent and scored by a CRITIC.
• UY Scuti
  MODEL STARS · FAMOUS STAR · M4 Ia
  UY Scuti (M4 Ia): 3,365 K, radius 909 R☉, luminosity 100000 L☉, ~5,900 ly (AMBER). Drawn in 3D by an ARTIST agent and scored by a CRITIC.
• R136a1
  MODEL STARS · FAMOUS STAR · WN5h
  R136a1 (WN5h): 46,000 K, radius 39.2 R☉, luminosity 4.68e+06 L☉, ~163,000 ly (LMC). Drawn in 3D by an ARTIST agent and scored by a CRITIC.
• Eta Carinae
  MODEL STARS · FAMOUS STAR · LBV + O/WR binary
  Eta Carinae (LBV + O/WR binary): 20,000 K, radius 240 R☉, luminosity 4.6e+06 L☉, ~7,500 ly (AMBER). Drawn in 3D by an ARTIST agent and scored by a CRITIC.
• Aldebaran
  MODEL STARS · FAMOUS STAR · K5+ III
  Aldebaran (K5+ III): 3,900 K, radius 45.1 R☉, luminosity 439 L☉, 65 ly. Drawn in 3D by an ARTIST agent and scored by a CRITIC.
• Arcturus
  MODEL STARS · FAMOUS STAR · K1.5 III
  Arcturus (K1.5 III): 4,286 K, radius 25.4 R☉, luminosity 170 L☉, 36.7 ly. Drawn in 3D by an ARTIST agent and scored by a CRITIC.
• Deneb
  MODEL STARS · FAMOUS STAR · A2 Ia
  Deneb (A2 Ia): 8,525 K, radius 203 R☉, luminosity 196000 L☉, ~2,600 ly (AMBER). Drawn in 3D by an ARTIST agent and scored by a CRITIC.
• Canopus
  MODEL STARS · FAMOUS STAR · A9 II
  Canopus (A9 II): 7,400 K, radius 71 R☉, luminosity 10700 L☉, 310 ly. Drawn in 3D by an ARTIST agent and scored by a CRITIC.
• Alpha Centauri A & B
  MODEL STARS · FAMOUS STAR · G2V + K1V
  Alpha Centauri A & B (G2V + K1V): 5,790 K, radius 1.22 R☉, luminosity 1.52 L☉, 4.37 ly. Drawn in 3D by an ARTIST agent and scored by a CRITIC.
• VY Canis Majoris
  MODEL STARS · FAMOUS STAR · M5e Ia
  VY Canis Majoris (M5e Ia): 3,490 K, radius 1420 R☉, luminosity 270000 L☉, ~3,900 ly (AMBER). Drawn in 3D by an ARTIST agent and scored by a CRITIC.
• Barnard's Star
  MODEL STARS · FAMOUS STAR · M4 V
  Barnard's Star (M4 V): 3,195 K, radius 0.187 R☉, luminosity 0.0034 L☉, 5.96 ly. Drawn in 3D by an ARTIST agent and scored by a CRITIC.
• Crab Pulsar
  MODEL STARS · FAMOUS · PULSAR
  The Crab Pulsar (PSR B0531+21): a neutron star spinning ~30 times a second at the heart of the Crab Nebula, left by the supernova seen in 1054.
• Sagittarius A*
  MODEL STARS · FAMOUS · SUPERMASSIVE BLACK HOLE
  Sagittarius A*: the Milky Way's central black hole, ~4.3 million solar masses, imaged by the Event Horizon Telescope in 2022.
• Why No Purple Stars
  MODEL STARS · THE PURPLE ANSWER
  Dave asked for purple stars. Real stars glow close to a blackbody, and blackbody colour runs red → orange → yellow → white → blue-white, never purple. The T dwarfs are a possible magenta exception.
• Stars · Dwarfs, Giants, Red, Blue (and Purple)
  MODEL STARS · INDEX
  Every kind of star in 46 pages: the spectral classes O to Y, giants, dwarfs and remnants, about 20 famous stars, and why no star is purple, all in 3D with an interactive H–R diagram.
• Time · The First Species
  MODEL LINEAGE · SPECIES 9 OF 10 · TIME
  Time as a species of its own: the geologic clock from Earth's formation 4,540 million years ago, eon by eon, drawn as a 3D clock face by an ARTIST and scored by a CRITIC.
• Shadow · The Five Extinctions
  MODEL LINEAGE · SPECIES 10 OF 10 · SHADOW
  Shadow as the species that follows every lineage: the Big Five mass extinctions, drawn as an eclipse ring by an ARTIST and scored by a CRITIC.
• The Four Bases · H, He, Be, C
  MODEL LINEAGE · CHEMICAL BASES
  Hydrogen, helium, beryllium and carbon: the real nuclear road from H through He and unstable Be-8 to C-12 (the triple-alpha process), and which base feeds which element line (MODEL).
• Earth · Element Line
  MODEL LINEAGE · ELEMENT · EARTH
  The Earth element: its prehistoric and modern lines, male and female, on the carbon base (MODEL), with the real evolutionary track drawn in 3D by an ARTIST and scored by a CRITIC.
• Air · Element Line
  MODEL LINEAGE · ELEMENT · AIR
  The Air element: its prehistoric and modern lines, male and female, on the beryllium base (MODEL), with the real evolutionary track drawn in 3D by an ARTIST and scored by a CRITIC.
• Fire · Element Line
  MODEL LINEAGE · ELEMENT · FIRE
  The Fire element: its prehistoric and modern lines, male and female, on the helium base (MODEL), with the real evolutionary track drawn in 3D by an ARTIST and scored by a CRITIC.
• Water · Element Line
  MODEL LINEAGE · ELEMENT · WATER
  The Water element: its prehistoric and modern lines, male and female, on the hydrogen base (MODEL), with the real evolutionary track drawn in 3D by an ARTIST and scored by a CRITIC.
• Sauropod Bull · Argentinosaurus ♂
  MODEL LINEAGE · EARTH · PREHISTORIC · ♂
  Earth line, prehistoric, male: Sauropod Bull · Argentinosaurus (Dinosauria). Real biology, with an ARTIST agent building its 3D form and a CRITIC scoring it.
• Medullary Hen · Tyrannosaurus MOR 1125 ♀
  MODEL LINEAGE · EARTH · PREHISTORIC · ♀
  Earth line, prehistoric, female: Medullary Hen · Tyrannosaurus MOR 1125 (Dinosauria). Real biology, with an ARTIST agent building its 3D form and a CRITIC scoring it.
• Musth Bull ♂
  MODEL LINEAGE · EARTH · NOW · ♂
  Earth line, now, male: Musth Bull (Elephantidae). Real biology, with an ARTIST agent building its 3D form and a CRITIC scoring it.
• Matriarch ♀
  MODEL LINEAGE · EARTH · NOW · ♀
  Earth line, now, female: Matriarch (Elephantidae). Real biology, with an ARTIST agent building its 3D form and a CRITIC scoring it.
• Crested Male · Pteranodon ♂
  MODEL LINEAGE · AIR · PREHISTORIC · ♂
  Air line, prehistoric, male: Crested Male · Pteranodon (Pterosauria). Real biology, with an ARTIST agent building its 3D form and a CRITIC scoring it.
• Mrs T · Darwinopterus ♀
  MODEL LINEAGE · AIR · PREHISTORIC · ♀
  Air line, prehistoric, female: Mrs T · Darwinopterus (Pterosauria). Real biology, with an ARTIST agent building its 3D form and a CRITIC scoring it.
• Tiercel ♂
  MODEL LINEAGE · AIR · NOW · ♂
  Air line, now, male: Tiercel (Falco peregrinus). Real biology, with an ARTIST agent building its 3D form and a CRITIC scoring it.
• Falcon ♀
  MODEL LINEAGE · AIR · NOW · ♀
  Air line, now, female: Falcon (Falco peregrinus). Real biology, with an ARTIST agent building its 3D form and a CRITIC scoring it.
• Vent Father ♂
  MODEL LINEAGE · FIRE · PREHISTORIC · ♂
  Fire line, prehistoric, male: Vent Father (Vent Thermophiles). Real biology, with an ARTIST agent building its 3D form and a CRITIC scoring it.
• Vent Mother ♀
  MODEL LINEAGE · FIRE · PREHISTORIC · ♀
  Fire line, prehistoric, female: Vent Mother (Vent Thermophiles). Real biology, with an ARTIST agent building its 3D form and a CRITIC scoring it.
• Fire-Chaser ♂
  MODEL LINEAGE · FIRE · NOW · ♂
  Fire line, now, male: Fire-Chaser (Melanophila). Real biology, with an ARTIST agent building its 3D form and a CRITIC scoring it.
• Ash-Layer ♀
  MODEL LINEAGE · FIRE · NOW · ♀
  Fire line, now, female: Ash-Layer (Melanophila). Real biology, with an ARTIST agent building its 3D form and a CRITIC scoring it.
• Shonisaurus ♂
  MODEL LINEAGE · WATER · PREHISTORIC · ♂
  Water line, prehistoric, male: Shonisaurus (Ichthyosauria). Real biology, with an ARTIST agent building its 3D form and a CRITIC scoring it.
• Birth-Giver · Stenopterygius ♀
  MODEL LINEAGE · WATER · PREHISTORIC · ♀
  Water line, prehistoric, female: Birth-Giver · Stenopterygius (Ichthyosauria). Real biology, with an ARTIST agent building its 3D form and a CRITIC scoring it.
• Tall-Fin Bull ♂
  MODEL LINEAGE · WATER · NOW · ♂
  Water line, now, male: Tall-Fin Bull (Orcinus orca). Real biology, with an ARTIST agent building its 3D form and a CRITIC scoring it.
• Menopause Matriarch ♀
  MODEL LINEAGE · WATER · NOW · ♀
  Water line, now, female: Menopause Matriarch (Orcinus orca). Real biology, with an ARTIST agent building its 3D form and a CRITIC scoring it.
• Lineage · Mother Nature's World Computer
  MODEL LINEAGE · INDEX
  A whole lineage in 24 pages: Time, Shadow and the H/He/Be/C bases at the root, then Earth, Air, Fire and Water, each with a prehistoric and a present-day line, male and female, all in 3D.
• Nim-Sum
  MODEL STEWARD IV · BOUTON'S TABLE · Mayhem classics
  Nim: the player who faces nim-sum 0 loses under perfect play (Bouton 1901).
• The Zebes Run
  MODEL STEWARD IV · BOUTON'S TABLE · Mayhem classics
  Agents G, R and O try to beat an abstract NES-Metroid map, posting tips to a shared board while K watches.
• The Life Gardeners
  MODEL STEWARD IV · BOUTON'S TABLE · Mayhem classics
  Four gardener agents plant patterns in Conway's Life; each cell carries its planter's colour and the board tracks whose lineage survives.
• The Hyrule Run
  MODEL STEWARD IV · BOUTON'S TABLE · Mayhem classics
  Agents L, I and N quest across an abstract Hyrule graph for eight Triforce pieces, posting tips when gates block them while K watches.
• Day Court Scholar · Ukiyo-e Woodblock
  MODEL STEWARD IV · BOUTON'S TABLE · Mayhem classics
  How to draw a Day Court-style scholar fae as a ukiyo-e woodblock print: flat colours, wave bands, indigo key lines.
• Day Court Scholar · vaporwave sprite
  MODEL STEWARD IV · BOUTON'S TABLE · Mayhem classics
  An agent pixel artist builds a 32×32 Day Court Scholar game sprite in vaporwave style, then animates idle, walk, attack and wings/cast cycles from its sheet.
• ALERT · CLEAR · ABSTAIN · Risograph
  MODEL STEWARD IV · BOUTON'S TABLE · Mayhem classics
  The artist tunes INFER's high/low thresholds on a synthetic Node 184 world, printing each cell's decision; the critic scores accuracy on decided cells times coverage with the hidden truth.
• Turn Rewards · Crayon
  MODEL STEWARD IV · BOUTON'S TABLE · Mayhem classics
  A crayon drawing of how much reward each agent earned per logged turn, Metroid against Punch-Out!!; the ARTIST colours the bars and the CRITIC checks each mean.
• Spirograph · Gel Pen
  MODEL STEWARD IV · BOUTON'S TABLE · Mayhem classics
  Gel pen in a toothed wheel: the ARTIST picks the ring, wheel and pen hole, and the CRITIC looks for the R = 5, r = 3, d = 2.5 hypotrochoid, which closes after 3 turns.
• Galton Board · Woodcut
  MODEL STEWARD IV · BOUTON'S TABLE · Mayhem classics
  Balls rattle through 8 rows of pegs: the ARTIST carves the 9 bin heights and the CRITIC compares them with the binomial law C(8,k)/256.
• Catalan Numbers · Crypt Stairs
  MODEL STEWARD IV · BOUTON'S TABLE · Mathematics
  Gothic noir neon: an ARTIST agent draws Catalan Numbers as a steps in ink wash in rain, and a CRITIC scores every attempt against a real computation.
• √2 Convergents · Lancet Windows
  MODEL STEWARD IV · BOUTON'S TABLE · Mathematics
  Gothic noir neon: an ARTIST agent draws √2 Convergents as a skyline in chalk on slate, and a CRITIC scores every attempt against a real computation.
• String Harmonics · Organ Pipes
  MODEL STEWARD IV · BOUTON'S TABLE · Physics
  Gothic noir neon: an ARTIST agent draws String Harmonics as a skyline in pastel haze, and a CRITIC scores every attempt against a real computation.
• Synodic Periods · Wandering Lanterns
  MODEL STEWARD IV · BOUTON'S TABLE · Astronomy
  Gothic noir neon: an ARTIST agent draws Synodic Periods as a bars in spray stencil, and a CRITIC scores every attempt against a real computation.
• Edit Distance · kitten → sitting
  MODEL STEWARD IV · BOUTON'S TABLE · Algorithms
  Gothic noir neon: an ARTIST agent draws Edit Distance as a curve in film-grain noir, and a CRITIC scores every attempt against a real computation.
• Monty Hall · Three Doors
  MODEL STEWARD IV · BOUTON'S TABLE · Games
  Gothic noir neon: an ARTIST agent draws Monty Hall as a bars in ink wash in rain, and a CRITIC scores every attempt against a real computation.
• SIR Plague · Masque
  MODEL STEWARD IV · BOUTON'S TABLE · Biology
  Gothic noir neon: an ARTIST agent draws SIR Plague as a curve in chalk on slate, and a CRITIC scores every attempt against a real computation.
• Arrhenius · Witch Fire
  MODEL STEWARD IV · BOUTON'S TABLE · Chemistry
  Gothic noir neon: an ARTIST agent draws Arrhenius as a curve in pastel haze, and a CRITIC scores every attempt against a real computation.
• Euclidean Rhythm E(5,8) · Drums
  MODEL STEWARD IV · BOUTON'S TABLE · Music
  Gothic noir neon: an ARTIST agent draws Euclidean Rhythm E(5,8) as a dots in spray stencil, and a CRITIC scores every attempt against a real computation.
• One-Time Pad · XOR Veil
  MODEL STEWARD IV · BOUTON'S TABLE · Cryptography
  Gothic noir neon: an ARTIST agent draws One-Time Pad as a grid in film-grain noir, and a CRITIC scores every attempt against a real computation.
• Catenary · Flying Buttress
  MODEL STEWARD IV · BOUTON'S TABLE · Architecture & myth
  Gothic noir neon: an ARTIST agent draws Catenary as a curve in ink wash in rain, and a CRITIC scores every attempt against a real computation.
• Node 184 · Read-Only Gate
  MODEL STEWARD IV · BOUTON'S TABLE · Dave’s corpus
  Gothic noir neon: an ARTIST agent draws Node 184 as a radial in chalk on slate, and a CRITIC scores every attempt against a real computation.
• Nim · XOR Heaps
  MODEL STEWARD IV · BOUTON'S TABLE · Games
  Gothic noir neon: an ARTIST agent draws Nim as a skyline in pastel haze, and a CRITIC scores every attempt against a real computation.
• The Butterfly Steward
  MODEL STEWARD V · LORENZ'S WEATHER · Mayhem classics
  Lorenz 1963 (σ=10, ρ=28, β=8/3): a strange attractor that never repeats.
• The Boid Council
  MODEL STEWARD V · LORENZ'S WEATHER · Mayhem classics
  Boid agents steer by separation, alignment and cohesion; out of noise comes a flock, and the order parameter is read live.
• The Drunkards’ Club
  MODEL STEWARD V · LORENZ'S WEATHER · Mayhem classics
  Two thousand walker agents stagger at random; together they draw the diffusion law ⟨r²⟩ = t, and the club secretary reads it live.
• The Ising Neighbours
  MODEL STEWARD V · LORENZ'S WEATHER · Mayhem classics
  Spin agents flip to agree with their neighbours unless the heat talks them out of it; order melts near Onsager's T c ≈ 2.269.
• Kid → Pro
  MODEL STEWARD V · LORENZ'S WEATHER · Mayhem classics
  Learner agents practise a game level by level; their times fall on the power law of practice, and they swap tips that speed each other up.
• Shadow Assassin · Ink Sumi-e
  MODEL STEWARD V · LORENZ'S WEATHER · Mayhem classics
  How to draw a Throne-of-Glass-style assassin in sumi-e brush ink: few strokes, red seal, paper glow.
• Shadow Assassin · 8-bit NES palette sprite
  MODEL STEWARD V · LORENZ'S WEATHER · Mayhem classics
  An agent pixel artist builds a 32×32 Shadow Assassin game sprite in 8-bit NES palette style, then animates idle, walk, attack and wings/cast cycles from its sheet.
• Starlit High Lady · pastel kawaii sprite
  MODEL STEWARD V · LORENZ'S WEATHER · Mayhem classics
  An agent pixel artist builds a 32×32 Starlit High Lady game sprite in pastel kawaii style, then animates idle, walk, attack and wings/cast cycles from its sheet.
• Fingerprint Blueprint · Read-Only 184
  MODEL STEWARD V · LORENZ'S WEATHER · Mayhem classics
  The registry's change-indicator fingerprint (FNV, never an authenticity signature) is drafted as a blueprint glyph; the artist sketches the 8 hex digits and the critic checks them against the fingerprint.
• L/R Balance · Charcoal Scales
  MODEL STEWARD V · LORENZ'S WEATHER · Mayhem classics
  A charcoal pair of scales weighing the agents' LEFT against RIGHT presses; the ARTIST draws the pans and the CRITIC weighs them against the logged L/R balance.
• Chladni Figures · Sand on Brass
  MODEL STEWARD V · LORENZ'S WEATHER · Mayhem classics
  An ARTIST agent picks the mode numbers of a vibrating square plate and scatters sand on the nodal lines; a CRITIC checks for mode (2,5).
• Descartes Rainbow · Chalk Pastel
  MODEL STEWARD V · LORENZ'S WEATHER · Mayhem classics
  Sunlight refracts through a raindrop: the ARTIST sets the refractive index and the arc radius, and the CRITIC checks Descartes' ~42° primary bow for water (n = 1.333).
• Collatz 27 · The Long Spire
  MODEL STEWARD V · LORENZ'S WEATHER · Mathematics
  Gothic noir neon: an ARTIST agent draws Collatz 27 as a curve in etched glass, and a CRITIC scores every attempt against a real computation.
• Odd Sums · Square Stairs
  MODEL STEWARD V · LORENZ'S WEATHER · Mathematics
  Gothic noir neon: an ARTIST agent draws Odd Sums as a steps in charcoal smoke, and a CRITIC scores every attempt against a real computation.
• Half-Life · Graveyard of Atoms
  MODEL STEWARD V · LORENZ'S WEATHER · Physics
  Gothic noir neon: an ARTIST agent draws Half-Life as a dots in neon tube, and a CRITIC scores every attempt against a real computation.
• Bubble Sort · Crypt Passes
  MODEL STEWARD V · LORENZ'S WEATHER · Algorithms
  Gothic noir neon: an ARTIST agent draws Bubble Sort as a steps in scratchboard, and a CRITIC scores every attempt against a real computation.
• Towers of Hanoi · Bell Towers
  MODEL STEWARD V · LORENZ'S WEATHER · Algorithms
  Gothic noir neon: an ARTIST agent draws Towers of Hanoi as a skyline in stained glass, and a CRITIC scores every attempt against a real computation.
• Two Dice · Bone Throw
  MODEL STEWARD V · LORENZ'S WEATHER · Games
  Gothic noir neon: an ARTIST agent draws Two Dice as a bars in etched glass, and a CRITIC scores every attempt against a real computation.
• Phyllotaxis · Thorns
  MODEL STEWARD V · LORENZ'S WEATHER · Biology
  Gothic noir neon: an ARTIST agent draws Phyllotaxis as a spiral in charcoal smoke, and a CRITIC scores every attempt against a real computation.
• Molar Masses · Alchemist Scales
  MODEL STEWARD V · LORENZ'S WEATHER · Chemistry
  Gothic noir neon: an ARTIST agent draws Molar Masses as a bars in neon tube, and a CRITIC scores every attempt against a real computation.
• Beat Frequency · Tremolo
  MODEL STEWARD V · LORENZ'S WEATHER · Music
  Gothic noir neon: an ARTIST agent draws Beat Frequency as a wave in scratchboard, and a CRITIC scores every attempt against a real computation.
• Difference Engine · Brass Columns
  MODEL STEWARD V · LORENZ'S WEATHER · History of computing
  Gothic noir neon: an ARTIST agent draws Difference Engine as a skyline in stained glass, and a CRITIC scores every attempt against a real computation.
• Golden Rectangle · Unverified Temple
  MODEL STEWARD V · LORENZ'S WEATHER · Architecture & myth
  Gothic noir neon: an ARTIST agent draws Golden Rectangle as a steps in etched glass, and a CRITIC scores every attempt against a real computation.
• Koch Snowflake · Frost Spire
  MODEL STEWARD V · LORENZ'S WEATHER · Mathematics
  Gothic noir neon: an ARTIST agent draws Koch Snowflake as a steps in charcoal smoke, and a CRITIC scores every attempt against a real computation.
• The Tit-for-Tat Ring
  MODEL STEWARD VI · AXELROD'S ROUND · Mayhem classics
  Iterated prisoner's dilemma, payoffs T5 R3 P1 S0, strategies meet in a round robin.
• The Nash Seekers
  MODEL STEWARD VI · AXELROD'S ROUND · Mayhem classics
  Two agents play rock–paper–scissors by fictitious play; each best-responds to the other's history and the mix spirals toward Nash 1/3.
• The Elo Ladder
  MODEL STEWARD VI · AXELROD'S ROUND · Mayhem classics
  Six bot players with hidden strengths play matches; Elo ratings on the shared ladder sort them into their true order.
• The Bandit Saloon
  MODEL STEWARD VI · AXELROD'S ROUND · Mayhem classics
  Gambler agents pull five one-armed bandits; UCB1, ε-greedy and random gamblers share a tally board and the clever ones find the best arm.
• Fire-Wielder Queen · Cel-Shaded Anime
  MODEL STEWARD VI · AXELROD'S ROUND · Mayhem classics
  How to draw a fire-wielding fae queen in cel-shaded anime style: hard-edged shadow, bright flame.
• Starlit High Lady · Neon Synthwave
  MODEL STEWARD VI · AXELROD'S ROUND · Mayhem classics
  How to draw a starlit High Lady in neon synthwave line art: grid horizon, sun, glowing outlines.
• Fire-Wielder Queen · 16-bit SNES sprite
  MODEL STEWARD VI · AXELROD'S ROUND · Mayhem classics
  An agent pixel artist builds a 32×32 Fire-Wielder Queen game sprite in 16-bit SNES style, then animates idle, walk, attack and wings/cast cycles from its sheet.
• Sensor Dropout · Glitch
  MODEL STEWARD VI · AXELROD'S ROUND · Mayhem classics
  Missing sensors become glitch slices: the artist tunes dropout and the alarm/drift sensitivities; the critic holds them to the observatory's 25% default and Dave's sensor model 0.82 / 0.70.
• 7.5° Symbolic Aperture · Kaleidoscope
  MODEL STEWARD VI · AXELROD'S ROUND · Mayhem classics
  Node 184's 7.5° symbolic aperture becomes a kaleidoscope; the artist tunes the wedge angle and fold, and the critic holds it to 7.5° (48 wedges) with alternating mirror folds.
• Punch-Out!! · Chalkboard of What Landed
  MODEL STEWARD VI · AXELROD'S ROUND · Mayhem classics
  An ARTIST agent chalks a bar for each Punch-Out!! button combo and a CRITIC measures it against what Nicki's corpus says actually worked.
• Who Took Whose Advice · Riso Zine
  MODEL STEWARD VI · AXELROD'S ROUND · Mayhem classics
  A riso zine page of how often each helper agent's advice was adopted in Punch-Out!!; the ARTIST prints the overlapping blobs and the CRITIC checks each adoption rate.
• Fourier Epicycles · Copperplate Fae
  MODEL STEWARD VI · AXELROD'S ROUND · Mayhem classics
  Spinning circles trace a winged-fae silhouette (MODEL shape): the ARTIST sets the epicycle radii and the CRITIC compares them with the shape's DFT.
• Leibniz π · Candle Row
  MODEL STEWARD VI · AXELROD'S ROUND · Mathematics
  Gothic noir neon: an ARTIST agent draws Leibniz π as a candles in film-grain noir, and a CRITIC scores every attempt against a real computation.
• Basel Problem · Chalice
  MODEL STEWARD VI · AXELROD'S ROUND · Mathematics
  Gothic noir neon: an ARTIST agent draws Basel Problem as a curve in ink wash in rain, and a CRITIC scores every attempt against a real computation.
• Critical Angles · Cursed Gems
  MODEL STEWARD VI · AXELROD'S ROUND · Physics
  Gothic noir neon: an ARTIST agent draws Critical Angles as a radial in chalk on slate, and a CRITIC scores every attempt against a real computation.
• Binary Search · Descent
  MODEL STEWARD VI · AXELROD'S ROUND · Algorithms
  Gothic noir neon: an ARTIST agent draws Binary Search as a skyline in pastel haze, and a CRITIC scores every attempt against a real computation.
• Prime Counting · π(x) vs x/ln x
  MODEL STEWARD VI · AXELROD'S ROUND · Algorithms
  Gothic noir neon: an ARTIST agent draws Prime Counting as a curve in spray stencil, and a CRITIC scores every attempt against a real computation.
• Poker Hands · Neon Cards
  MODEL STEWARD VI · AXELROD'S ROUND · Games
  Gothic noir neon: an ARTIST agent draws Poker Hands as a radial in film-grain noir, and a CRITIC scores every attempt against a real computation.
• DNA GC Content · Double Helix
  MODEL STEWARD VI · AXELROD'S ROUND · Biology
  Gothic noir neon: an ARTIST agent draws DNA GC Content as a wave in ink wash in rain, and a CRITIC scores every attempt against a real computation.
• Balmer Lines · Neon Spectrum
  MODEL STEWARD VI · AXELROD'S ROUND · Chemistry
  Gothic noir neon: an ARTIST agent draws Balmer Lines as a wave in chalk on slate, and a CRITIC scores every attempt against a real computation.
• Caesar Cipher · Shifted Shadows
  MODEL STEWARD VI · AXELROD'S ROUND · Cryptography
  Gothic noir neon: an ARTIST agent draws Caesar Cipher as a bars in pastel haze, and a CRITIC scores every attempt against a real computation.
• Lovelace Note G · Bernoulli
  MODEL STEWARD VI · AXELROD'S ROUND · History of computing
  Gothic noir neon: an ARTIST agent draws Lovelace Note G as a bars in spray stencil, and a CRITIC scores every attempt against a real computation.
• Cretan Labyrinth · Seven Circuits
  MODEL STEWARD VI · AXELROD'S ROUND · Architecture & myth
  Gothic noir neon: an ARTIST agent draws Cretan Labyrinth as a rings in film-grain noir, and a CRITIC scores every attempt against a real computation.
• Brachistochrone · Cycloid Slide
  MODEL STEWARD VI · AXELROD'S ROUND · Physics
  Gothic noir neon: an ARTIST agent draws Brachistochrone as a curve in ink wash in rain, and a CRITIC scores every attempt against a real computation.
• The Double Swing
  MODEL STEWARD VII · LAGRANGE'S ARMS · Mayhem classics
  Double pendulum: two rods, one gravity, sensitive chaos; RK4 keeps energy honest.
• The Vickrey Hall
  MODEL STEWARD VII · LAGRANGE'S ARMS · Mayhem classics
  Bidder agents with secret values learn how to bid in second-price auctions; shading dies out because honesty is dominant.
• The Monty Hall Agents
  MODEL STEWARD VII · LAGRANGE'S ARMS · Mayhem classics
  Stayer and switcher agents play the three-door game; the switchers' tally climbs toward two-thirds and converts the stayers.
• The Quantum-Dot Tunnel
  MODEL STEWARD VII · LAGRANGE'S ARMS · Mayhem classics
  0-sphere agents (2 quantum dots (0, 0), 2 vectors (−1, −1), 2 edges (+1, +1), sum 0) hop between two wells through a barrier with the textbook tunnelling probability.
• Summer Court Seafarer · Pixel Art
  MODEL STEWARD VII · LAGRANGE'S ARMS · Mayhem classics
  How to draw a Summer Court-style seafarer fae as pixel art: build it smooth, then snap it to a chunky grid.
• Summer Court Seafarer · Game Boy 4-green sprite
  MODEL STEWARD VII · LAGRANGE'S ARMS · Mayhem classics
  An agent pixel artist builds a 32×32 Summer Court Seafarer game sprite in Game Boy 4-green style, then animates idle, walk, attack and wings/cast cycles from its sheet.
• prior184 · Ink Brush
  MODEL STEWARD VII · LAGRANGE'S ARMS · Mayhem classics
  The artist paints the age prior as one brush stroke through six control points; the critic compares it with prior184(age) = clamp(0.07 + 0.16·age/50, 0.02, 0.35).
• Memory Turns · Notebook Margin
  MODEL STEWARD VII · LAGRANGE'S ARMS · Mayhem classics
  Ballpoint doodles in a notebook margin compare how much memory the agents used per turn in Metroid against Punch-Out!!; the ARTIST doodles the stacks and the CRITIC counts them.
• Harmonograph · Ink Pendulum
  MODEL STEWARD VII · LAGRANGE'S ARMS · Mayhem classics
  Two pendulums drive a pen; the ARTIST tunes the frequencies and the phase, and the CRITIC looks for the closed 3:2 Lissajous figure with a π/2 phase.
• Kepler Orbits · Cyanotype
  MODEL STEWARD VII · LAGRANGE'S ARMS · Mayhem classics
  A sun print of Mars's ellipse: the ARTIST sets the semi-major axis and the eccentricity, and the CRITIC checks a = 1.524 AU, e = 0.093 and Kepler's T² = a³.
• Euler e · Lanterns
  MODEL STEWARD VII · LAGRANGE'S ARMS · Mathematics
  Gothic noir neon: an ARTIST agent draws Euler e as a moons in stained glass, and a CRITIC scores every attempt against a real computation.
• Popcount · Binary Catacomb
  MODEL STEWARD VII · LAGRANGE'S ARMS · Mathematics
  Gothic noir neon: an ARTIST agent draws Popcount as a grid in etched glass, and a CRITIC scores every attempt against a real computation.
• Escape Velocity · Four Worlds
  MODEL STEWARD VII · LAGRANGE'S ARMS · Physics
  Gothic noir neon: an ARTIST agent draws Escape Velocity as a bars in charcoal smoke, and a CRITIC scores every attempt against a real computation.
• Dijkstra · Catacomb Paths
  MODEL STEWARD VII · LAGRANGE'S ARMS · Algorithms
  Gothic noir neon: an ARTIST agent draws Dijkstra as a radial in neon tube, and a CRITIC scores every attempt against a real computation.
• Random Walk · Fog
  MODEL STEWARD VII · LAGRANGE'S ARMS · Algorithms
  Gothic noir neon: an ARTIST agent draws Random Walk as a dots in scratchboard, and a CRITIC scores every attempt against a real computation.
• Elo Expectation · Duel
  MODEL STEWARD VII · LAGRANGE'S ARMS · Games
  Gothic noir neon: an ARTIST agent draws Elo Expectation as a curve in stained glass, and a CRITIC scores every attempt against a real computation.
• Codon Degeneracy · 64 Coffins
  MODEL STEWARD VII · LAGRANGE'S ARMS · Biology
  Gothic noir neon: an ARTIST agent draws Codon Degeneracy as a bars in etched glass, and a CRITIC scores every attempt against a real computation.
• Packing Fractions · Crystal Vault
  MODEL STEWARD VII · LAGRANGE'S ARMS · Chemistry
  Gothic noir neon: an ARTIST agent draws Packing Fractions as a radial in charcoal smoke, and a CRITIC scores every attempt against a real computation.
• Vigenère · ERIS Key
  MODEL STEWARD VII · LAGRANGE'S ARMS · Cryptography
  Gothic noir neon: an ARTIST agent draws Vigenère as a steps in neon tube, and a CRITIC scores every attempt against a real computation.
• Turing Machine · Binary Incrementer
  MODEL STEWARD VII · LAGRANGE'S ARMS · History of computing
  Gothic noir neon: an ARTIST agent draws Turing Machine as a grid in scratchboard, and a CRITIC scores every attempt against a real computation.
• Zeno’s Arrow · Endless Halves
  MODEL STEWARD VII · LAGRANGE'S ARMS · Architecture & myth
  Gothic noir neon: an ARTIST agent draws Zeno’s Arrow as a steps in stained glass, and a CRITIC scores every attempt against a real computation.
• Lagrange L1 · Sun–Earth Gate
  MODEL STEWARD VII · LAGRANGE'S ARMS · Astronomy
  Gothic noir neon: an ARTIST agent draws Lagrange L1 as a dots in etched glass, and a CRITIC scores every attempt against a real computation.
• Langton's Mayhem Ant
  MODEL STEWARD VIII · LANGTON'S HIGHWAY · Mayhem classics
  Langton's ant: chaos for ~10,000 steps, then a highway; the rule runs backwards exactly.
• The {{i}} Haiku Scribes
  MODEL STEWARD VIII · LANGTON'S HIGHWAY · Mayhem classics
  Scribe agents trade words to build 5-7-5 haiku in {{i}} notation; every poem is counted before it is kept.
• The Robot Master Order
  MODEL STEWARD VIII · LANGTON'S HIGHWAY · Mayhem classics
  Agents fight eight model Robot Masters in different orders and share which weapon beats whom; the weakness chain emerges.
• Schelling Street
  MODEL STEWARD VIII · LANGTON'S HIGHWAY · Mayhem classics
  Resident agents who only want a third of their neighbours to match them move until happy; the street sorts itself into districts nobody asked for.
• Autumn Court Lord · Pointillism
  MODEL STEWARD VIII · LANGTON'S HIGHWAY · Mayhem classics
  How to draw a flame-haired Autumn Court-style lord in pointillist dots: build the colour, then dissolve it into points.
• Autumn Court Lord · cyberpunk sprite
  MODEL STEWARD VIII · LANGTON'S HIGHWAY · Mayhem classics
  An agent pixel artist builds a 32×32 Autumn Court Lord game sprite in cyberpunk style, then animates idle, walk, attack and wings/cast cycles from its sheet.
• 40 Unseen Worlds · Constellation
  MODEL STEWARD VIII · LANGTON'S HIGHWAY · Mayhem classics
  Forty holdout worlds (seeds 20801…20840) are stars; the artist places them and the critic scores how close each lies to where random184(seed) puts it.
• The Vetoes Soften · Watercolour Journal
  MODEL STEWARD VIII · LANGTON'S HIGHWAY · Mayhem classics
  Watercolour washes trace how often the SID-1 veto fired on each Punch-Out!! turn, falling across the run; the ARTIST lays the washes and the CRITIC checks each level.
• Hilbert Curve · Embroidery
  MODEL STEWARD VIII · LANGTON'S HIGHWAY · Mayhem classics
  Thread follows a space-filling curve: the ARTIST chooses the order and the stitch length, and the CRITIC checks an order-3 Hilbert curve that fills the hoop.
• Harmonic Series · Bell Tower
  MODEL STEWARD VIII · LANGTON'S HIGHWAY · Mathematics
  Gothic noir neon: an ARTIST agent draws Harmonic Series as a bars in spray stencil, and a CRITIC scores every attempt against a real computation.
• Large-Swing Pendulum · Clock Tower
  MODEL STEWARD VIII · LANGTON'S HIGHWAY · Physics
  Gothic noir neon: an ARTIST agent draws Large-Swing Pendulum as a orbit in film-grain noir, and a CRITIC scores every attempt against a real computation.
• Planetary Years · Orrery of the Damned
  MODEL STEWARD VIII · LANGTON'S HIGHWAY · Astronomy
  Gothic noir neon: an ARTIST agent draws Planetary Years as a orbit in ink wash in rain, and a CRITIC scores every attempt against a real computation.
• R-Pentomino · Life in the Ruins
  MODEL STEWARD VIII · LANGTON'S HIGHWAY · Algorithms
  Gothic noir neon: an ARTIST agent draws R-Pentomino as a bars in chalk on slate, and a CRITIC scores every attempt against a real computation.
• Subtraction Nim {1,3,4} · Grundy Crypt
  MODEL STEWARD VIII · LANGTON'S HIGHWAY · Games
  Gothic noir neon: an ARTIST agent draws Subtraction Nim {1,3,4} as a grid in pastel haze, and a CRITIC scores every attempt against a real computation.
• Tit-for-Tat · Iterated Dilemma
  MODEL STEWARD VIII · LANGTON'S HIGHWAY · Games
  Gothic noir neon: an ARTIST agent draws Tit-for-Tat as a bars in spray stencil, and a CRITIC scores every attempt against a real computation.
• Kleiber’s Law · Beasts
  MODEL STEWARD VIII · LANGTON'S HIGHWAY · Biology
  Gothic noir neon: an ARTIST agent draws Kleiber’s Law as a skyline in film-grain noir, and a CRITIC scores every attempt against a real computation.
• A Minor · Cathedral Organ
  MODEL STEWARD VIII · LANGTON'S HIGHWAY · Music
  Gothic noir neon: an ARTIST agent draws A Minor as a skyline in ink wash in rain, and a CRITIC scores every attempt against a real computation.
• Toy RSA · 61×53
  MODEL STEWARD VIII · LANGTON'S HIGHWAY · Cryptography
  Gothic noir neon: an ARTIST agent draws Toy RSA as a grid in chalk on slate, and a CRITIC scores every attempt against a real computation.
• Middle-Square RNG · von Neumann
  MODEL STEWARD VIII · LANGTON'S HIGHWAY · History of computing
  Gothic noir neon: an ARTIST agent draws Middle-Square RNG as a curve in pastel haze, and a CRITIC scores every attempt against a real computation.
• Ouroboros · Cyclic Group
  MODEL STEWARD VIII · LANGTON'S HIGHWAY · Architecture & myth
  Gothic noir neon: an ARTIST agent draws Ouroboros as a spiral in spray stencil, and a CRITIC scores every attempt against a real computation.
• Escape Times · Black Lace
  MODEL STEWARD VIII · LANGTON'S HIGHWAY · Algorithms
  Gothic noir neon: an ARTIST agent draws Escape Times as a grid in film-grain noir, and a CRITIC scores every attempt against a real computation.

llms.txt · mayhem.json · the hallway

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proving…

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