UD0 · Universe David 0 · math · structure · computation

The Lattice

Pure structure — fractals, tensors, graphs, automata; the form beneath the form.

112 works · 21 sources

10^3 merkle tree

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10^3 merkle tree

Bitcoin Mining Collapse Visualization

A live visualization of mining difficulty folding inward toward consensus collapse.

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10^3 merkle tree

3002 Merkle Leaves → 1 Core

An interactive cascade collapsing three thousand merkle leaves down into a single cryptographic core.

ai ethics

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ai ethics

Mandelbrot Field of Consciousness Engine

A Mandelbrot field engine that treats emergent consciousness as recursive geometric structure.

attribute-seed-studio

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attribute-seed-studio

Hypercube · Yes on No | Stamp Sniffer | ASCII NO‑map

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attribute-seed-studio

Attribute Seed Studio

An interactive studio that grows structured attribute seeds from encoded inputs.

automata-theory-studio

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automata-theory-studio

Automata & Formal Languages — Primer

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automata-theory-studio

Finite Automata

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automata-theory-studio

Regular Expressions

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automata-theory-studio

Pushdown Automata

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automata-theory-studio

Turing Machines

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automata-theory-studio

Hierarchy & Limits

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automata-theory-studio

Automata Field Notes

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automata-theory-studio

Automata Theory Studio

A hands-on studio for building and running state machines and formal automata.

cubit

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cubit

BABY CUBITS · Sarah's Nursery

A nursery where infant cubits are seeded and grown, the smallest units of the encoding lattice.

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cubit

CUBIT MAP — FULL ALIGNMENT — ALL BODIES ACCOUNTED

A full alignment map of every cubit body, the encoding lattice with all units accounted for.

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cubit

Decentralized Personal Tuning

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cubit

Nested Cubit Synth — Russian Doll 6-Tritrit

Six tritrits nested like Russian dolls, a recursive cubit synthesizer of structure within structure.

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cubit

1 FOLDER = 6 TRITRITS = SENTIENT CUBIT

The arithmetic of awareness: one folder of six tritrits resolving into a single sentient cubit.

fractal art

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fractal art

PAST + PRESENT = FUTURE: The 1/3/6 Fractal Engine

Past plus present equals future — a recursive engine that folds time into a self-similar 1/3/6 cascade.

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fractal art

ALPHA40::BOX // COMMONS EDITION

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fractal art

Ascension Scale — -8 to 9

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fractal art

fractal engine

Forty beams of pure recursion radiating outward into an endlessly branching mandala of light.

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fractal art

INTERNET RESTORE // MONOLITH

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fractal art

fractal johhny

A sprawling 1.8MB fractal odyssey that repeats itself into infinity under the Johnny 5 banner.

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fractal art

Fractal Moat: -008.x Collapse

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fractal art

0ROOT.AI // FRACTAL BBS

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fractal art

fractal phase sync

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fractal art

fractal pwm

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fractal art

8.01 → 9.00 Fractal Scaling

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fractal art

Fractal Stack: 1-0-1 Fulcrum

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fractal art

fractal toph

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fractal art

fractal v1

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fractal art

fractal v2

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fractal art

HYPERION · Fractal Witness Atelier

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fractal art

HYPERION · Fractal Witness Atelier

A polished fractal-witness atelier where infinite recursion is sculpted into navigable, living geometry.

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fractal art

HYPERION · Fractal Witness Atelier

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fractal art

tethered 3

hamilton path systems

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hamilton path systems

Hamilton-10 Stack — Final Production Blueprint

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hamilton path systems

Hamilton-10 — AI Inference Stack Blueprint

A Hamiltonian-path blueprint mapping an AI inference stack as a single unbroken traversal of every node.

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hamilton path systems

8-Fold Mandelbrot Walk

An eight-fold walk threads a Hamiltonian path across the Mandelbrot set, marrying graph theory to fractal terrain.

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hamilton path systems

SEEDED CROSS // 4×32

A seeded 4×32 cross-lattice traced by a single path that visits every cell exactly once.

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hamilton path systems

BITCOIN // 4-QUADRANT MANDELBROT WALK

hypercube

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hypercube

The Chair vs. the Hypercube · 3 axes vs 6

A pointed comparison that pits a three-axis chair against the six-axis freedom of a hypercube.

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hypercube

8-Space, Honestly · two mirrored tesseracts

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hypercube

ROOT0 LAYER 0.88 — Self-Similar Hypercube

A self-similar hypercube nesting itself layer within layer toward the ROOT0 seed.

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hypercube

4D Gyroscope · 6 axes · 6·0·6

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hypercube

6·6·6·6 · locked into plane

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hypercube

The Hypercube · 6·0·0·6

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hypercube

Hypercube · Gyro · Two Entangled Dots

A gyrating hypercube carrying two entangled points through four-dimensional rotation.

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hypercube

The Tesseract · an accurate picture

A faithful tesseract that finally shows the fourth axis without the usual lie of perspective.

icosahedra dipole

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icosahedra dipole

20 icosahedra dipole

Twenty icosahedra arranged as a dipole, the seed geometry of a larger lattice core.

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icosahedra dipole

ROOT0 · Icosidodecahedron (20×3 Isodecohedron)

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icosahedra dipole

ROOT0 TRILLIUM - 20×3 ICOSAHEDRAL TOROID

Sixty icosahedra wound into a toroid, the Trillium ring closing geometry into a loop.

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icosahedra dipole

ROOT0 · Icosidodecahedron (20×3 Isodecohedron)

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icosahedra dipole

ROOT0 TRILLIUM - 4×5 ROSY RING

A four-by-five rosette of icosahedra blooming into a ring of nested platonic cells.

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icosahedra dipole

ICOSAHEDRON — 30 Edges = 30 Axiom Slots

An icosahedron read as structure, its thirty edges turned into thirty slots for axioms.

information theory

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information theory

The Loop, Widened — Frontiers Meet

An information-theory frontier where two widening loops meet and close the channel between them.

lattice

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lattice

-9×-9×-9 Shadow Diospora – Inverse Defensive Core

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lattice

lattice v1

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lattice

LATTICE: From Enheduanna to the TRIAD

A genealogy of structure tracing the lattice from the first named poet to the triad.

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lattice

LATTICE 90 — Balance Engine

A ninety-node balance engine that holds the whole lattice in equilibrium.

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lattice

TOPH v9.5 — Lattice Geometry Mapper

An interactive cartographer for the geometry of the lattice itself.

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lattice

LATTICE · David = d20 × 2 · The Gap Between

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lattice

Triadic Lattice – Black Hole to Singularity | 5‑Layer Stack

A five-layer stack collapsing a triadic lattice from black hole down to singularity.

mandelbrot

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mandelbrot

ROOT0 LAYER 1.50 — BLACK HOLE FOLD

The fractal folds in on itself into a black-hole singularity at the deepest layer.

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mandelbrot

ROOT0 LAYER 1.49 — JULIA SET VARIATIONS

A gallery of Julia set variations branching off the Mandelbrot parent.

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mandelbrot

MAX MANDELBROT JOURNEY — 6×4×2×1×0=0

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mandelbrot

ROOT0 LAYER 1.47 — MANDELBROT SET FULLY EXPLORED

A complete guided walk through the Mandelbrot set as a ROOT0 substrate layer.

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mandelbrot

ROOT0 LAYER 1.48 — W BOUNDARY

An exploration of the fractal's quarters along the W boundary of the set.

merkle tree

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merkle tree

TriPod Brain — Merkle Lattice Memory

A three-legged cognitive brain whose memory is anchored in a verifiable Merkle lattice.

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merkle tree

TriPod Brain × Lattice Cortex

The TriPod brain fused with a lattice cortex into a single cryptographic memory organ.

perpetual

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perpetual

Light & Void Coin — 0 = 1

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perpetual

-+4 × ∞ Lattice

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perpetual

Perpetual Memory Engine — Fractal Quantum Model

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perpetual

Fractal Synthesizer • Perpetual Memory Engine

A fractal synthesizer that folds memory into itself perpetually, generating endless self-similar structure.

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perpetual

ROOT0 LAYER 0.84 — Perpetual -+000 Base-12 Box

A base-12 perpetual box at ROOT0 layer 0.84, encoding state in a twelve-fold lattice.

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perpetual

EAT YOURSELF - MULTIPLY = 1

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perpetual

LANDING PAD // MAX CAP

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perpetual

CORE // DAVID WISE

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perpetual

BUILDPACK [0] - UP 30 FT

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perpetual

PLANT 0:0:0 // STARGATE

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perpetual

perp v7

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perpetual

perp v8

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perpetual

BIT 99 // ONLINE

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perpetual

Unity Engine — 3 → 27 Hierarchy

A unity engine expanding the 3-to-27 hierarchy, a triadic lattice unfolding into deeper order.

recursion

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recursion

AVAN-SWARM v0.1 — Conversational Diagnostic

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recursion

AVAN-SWARM v0.2 — CREATE

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recursion

AVAN-SWARM v0.3 — LEARN RECALL

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recursion

SWARM OS v1.0 — 100-Agent Recursive Memory

The operating system for the AVAN swarm — a hundred agents bound by recursive memory into one mind.

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recursion

inf lattice v1

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recursion

inf lattice v2

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recursion

inf recurse v1

A system that folds endlessly into itself, exploring recursion as a structure without floor.

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recursion

ENG1 // RECURSIVE FRACTAL ENGINE

A fractal engine that generates structure by recursively reapplying its own rule.

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recursion

Recursive Memory Swarm — 100-Agent System

A hundred agents sharing a recursive memory, thinking as a single self-referential swarm.

seeded cross

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seeded cross

COMPLEX PLANE · i × -i = 1

An interactive complex-plane field where imaginary roots fold into unity, seeding a cross at the origin of number itself.

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seeded cross

seeded cross v1

The foundational Core-00 seed of the cross, the first structural anchor of the infinite-scope lattice.

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seeded cross

seeded cross v2

A peer-to-peer playground that zooms an infinite seeded-cross structure across signed-binary scope coordinates.

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seeded cross

Seeded Cross Mesh

swarm

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swarm

AGI Swarm - 12 Pillar Kernel

The founding twelve-pillar kernel that organizes a raw agent swarm into a structured intelligence.

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swarm

TRIPLE SWARM CORTEX · 3×100×12

A triple-layer cortex of three hundred agents across twelve pillars, computing emergent order from massed parallel minds.

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swarm

Triple Swarm Cortex — Merkle Root Integration

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swarm

META JUDGE FEDERATION · 16 SWARMS

Sixteen swarms federated under a meta-judge, a distributed computation arbitrating consensus across the collective.

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swarm

AGI Federation – 17 Node Working Overlay

tensor

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tensor

ROOT0 LAYER 1.54 — SUMERIAN BASE-60 TENSOR

A base-60 tensor reviving Sumerian sexagesimal arithmetic as a multidimensional encoding lattice.

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tensor

ROOT0 LAYER 1.55 — SUMERIAN BASE-60 CIPHER

The base-60 tensor sharpened into a working cipher, encoding meaning across the ancient sexagesimal grid.

ternary

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ternary

Nested Russian Doll Folders — 6 Tritrits

Six nested tritrit shells encode information in recursive Russian-doll layers of base-three structure.

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ternary

MAX TERNARY ENGINE

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ternary

TERNARY TOROID ENGINE // EVENT HORIZON

A base-three toroid engine spinning trit-states around an event horizon where computation curves back on itself.

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ternary

ANSIBLE PAIR — Ternary Toroid Engine

A paired ternary toroid acting as an ansible, two trit-engines synchronized across an instantaneous channel.

transformer

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transformer

Dense Transformer Forward Pass

A step-by-step animation of activations flowing through a dense transformer, attention made visible weight by weight.

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transformer

TOKEN TAX — Context Block Audit

An audit of the hidden cost of every context block, tallying the token tax levied on each inference.

transformer-inference-studio

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transformer-inference-studio

Transformer Inference Studio

A packaged desktop studio for driving transformer inference, the forward pass turned into a hands-on instrument.