Portfolio · Cover & Drawing Index

Dimensional Rotation Architecture

A drawing set in eleven sheets · from the fixed point to the maximal torus of SO(8)
SHEET  00
OF  XI
SET  DRA-2026
STATUS  ISSUED
A · Progression — the spine of the set
3-space
The Gimbal
3 planes · 1 at once
→
4-space
The Tesseract
6 planes · 2 at once
→
8-space
Quarter-Planes
28 planes · 4 at once = T⁴
B · Sheet Index
No.Sheet TitleSubjectStatus
Division 0 — General
00Cover & Drawing Indexthis sheetIssued
Division 1 — Quantum Instruments
01Ephemeral Qubit Lab2-qubit density-matrix sandbox · entangle & measureIssued
Division 2 — Gyroscopic Studies · 3-Space
02The Dot at 0,0gyroscope ‖ qubit precession (Larmor / Rabi)Issued
03The Triad & Its Shadowtwo dots · 3 axes + 3 shadow axesIssued
04The Chair & the Sixth TurnNASA MASTIF (3-axis) vs the 4D rotor (6-plane)Issued
Division 3 — Four-Space · The Tesseract
05The Hypercube · 6·0·0·6tesseract · mirror-vertex pairIssued
06The Tesseract — Accurate Picture16v / 32e · six rotation planes · w-depthIssued
07Two Dots, Entangledhypercube ⊃ gyro ⊃ Bell pair (real ρ)Issued
08Six Axes, One Center · 6·0·64D gyro · 6 axes ⇄ 6 planesIssued
09Locked, Then Freed · 6·6·6·6simple → double → isoclinic → freeIssued
Division 4 — Higher Space
10The 4D Thing, Doubled & Mirroredℝ⁸ = ℝ⁴⊕ℝ⁴ · Cayley–Dickson ladderIssued
11Plate 8·IV — Quarter-Plane Decomposition¼ × 4 = 1 · T⁴ = SO(2)⁴ ⊂ SO(8)Issued
C · Visual Language & Method
Drawing Conventions
fixed point — the center held still under every rotation
near in w  ·  far in w (the shadow)
axis = rotation plane (rotor coupled to geometry)
projection / shadow of a real element
dashed = staged or projected · solid = the real object
Scope & Method
  • Researched before drawn. Factual sheets (the NASA gimbal rig, the rotation-group counts, Cayley–Dickson) were verified against sources, not memory.
  • Each sheet a faithful schematic. Real geometry and real physics are computed honestly; the one unavoidable liberty is flattening higher dimensions onto a screen.
  • Real vs. staging, kept apart. Mathematics is labeled real; the recurring numeric motifs (6·0·0·6, 6·0·6, 6·6·6·6, 8,8, ¼×4=1) are labeled as motifs laid over real structure.
  • Companion library, separate register. The illustrated-pamphlet shelf (information theory, quantum dots, the figures, the workbench series) is a different publication set with its own index — not part of this drawing set.
Project
Dimensional Rotation Architecture
Set
DRA-2026 · Sheets 00–11
Scale
N.T.S.
Drawn
Studio Atelier
Discipline
Geometry / Rotation
Revision
— C —
Revisions
A · 3-axis baseline (the gimbal)B · 4D / 6-plane rotorC · 8-space · quarter-plane decomposition + set cover