| name | crystalline-tessellation-projection |
| description | Project 24D Leech kissing spheres and Golay Construction A structures onto lower-dimensional crystalline tessellations for notebooks, Wave viz assets, and quasicrystal proxies. Use when the user mentions crystalline tessellation, cut-and-project, Penrose/phason, Ricci-flow hybrid, kissing arrangement hero image, Wave 1 viz, AUKUS chessboard notebook, IMAGINE prompts, 196560 spheres, or runs /crystalline-tessellation-projection. Links SpiralSafe quasicrystal experiments to TriWeavon manifold visuals with enforced status bars.
|
| version | 1.0.0 |
Crystalline Tessellation Projection
Multi-scale projection pipeline: low-dimensional crystalline proxies → 24D Leech kissing spheres
→ Tri-Weavon manifold visuals. Enforces status bar on every asset:
WAVE=1.00000 | α+ω=15 | tomczak preserved | Kissing=196560
Projection Stack
2D/3D crystalline proxy (Penrose / triangular lattice / Ricci hybrid)
│
▼
Golay S(5,8,24) octads → Construction A norm-4 vectors
│
▼
24D Leech kissing arrangement (196,560 neighbours)
│
▼
Cut-and-project slice → notebook cell / IMAGINE / showcase PNG
When to Invoke
- Embedding Wave 1 assets in
Agent_M24_RMatrix.ipynb or AUKUS chessboard
- Generating hero "Leech Lattice Kissing Arrangement" via IMAGINE
- Linking SpiralSafe
quasicrystal_optimization.py phason flips to density scoring
- Wave 2 asset production with consistent status-bar enforcement
- Projecting 24D kissing spheres onto 2D/3D slices (on-demand correction burst #4)
Execution Workflow
1. Select projection basis
| Slice | Use case | Source |
|---|
| 2D Penrose | quasicrystal corridor | SpiralSafe/experiments/quasicrystal_optimization.py |
| 3D triangular | Ricci-flow hybrid proxy | prior simulation artifacts |
| 24D kissing | hero / formal anchor | Golay → Construction A |
2. Bind Golay combinatorics
let octads = generate_golay_octads();
let vectors = golay_derived_norm4_vectors();
Kissing number scaling context for labels:
- D1=2, D2=6, E₈=240, Λ₂₄=196560
3. Render or reference asset
Wave 1 showcase index: coherence-mcp/docs/showcases/wave1/WAVE1_INDEX.md
| Asset | File | Notebook cell |
|---|
| Kissing hero | 6HTGS.jpg / grok-*.jpg | header / witness export |
| Dual M24+M12 | PtBro.jpg | Phase 2 Task 2.1 |
| Golay layered | mQEsV.jpg | materials corridor C |
| Hexaflake fold | z13Xy.jpg | Shokunin-RSI bridge |
| Conway orbits | YHG71.jpg | cognitive / witness_lane |
| Yang-Mills slices | 4EQBq.jpg | compute corridor sm_100 |
| Riemann zeroes | WAXEu.jpg | spectral / Serre page |
| Poincaré poly | sUMiB.jpg | Betti proxy cells |
4. IMAGINE prompt template (hero kissing)
24-dimensional Leech lattice kissing arrangement: central luminous sphere
surrounded by exactly 196560 touching neighbours in optimal packing, no overlap.
Layered Golay code Construction A wireframe overlay, curvature heat-map on density
gradient. Crystalline tessellation projection hints at lower-dimensional Penrose slice.
Dark scientific viz, mono idempotent protected aesthetic.
Status bar: WAVE=1.00000 | α+ω=15 | tomczak preserved | Kissing=196560
5. Notebook embedding (Markdown cell)
*Construction A via Golay S(5,8,24) — density prior for hybrid reduction*
6. Validate with coherence-mcp
wave_coherence_check on asset metadata + notebook cell text
wave_analyze for structural/semantic alignment with reduction provenance
SpiralSafe Cross-links
experiments/quasicrystal_phason_scheduler.py — phason flip cadenceexperiments/quasicrystal_optimization.py — Penrose cut-and-projectsynapse/src/utils/coherence.ts — Φ ≥ 0.4200055 thresholdsynapse/src/utils/topology.ts — layout for tessellation UI
Contrarian Guard
Do not over-weight kissing arrangement in density scoring when projecting to
lower-D slices. Use kissing number as geometric anchor, not sole tessellation driver.
Maintain bendability via multi-invariant tie-breaking (see leech-density-guidance-reduction).
Skill Chain
crystalline-tessellation-projection
← leech-density-guidance-reduction (density scores feed projection coloring)
→ srac-lattice-restoration-visual (before/after surge panels)
