Every computation defaults to cubic lattice topology: 6 neighbors, 3 axes. Nobody chose it. It was just there.
The FCC lattice gives each node 12 neighbors along 6 face-diagonal directions. Its Voronoi cell is the rhombic dodecahedron. Kepler proved it packs spheres optimally in 1611. Hales confirmed it in 2005.
Under real-world heterogeneous conditions, it provides 6.1× the algebraic connectivity of the cube.
The cube is not the enemy — it is the skeleton. The rhombic dodecahedron contains the cube: its 8 trivalent vertices ARE the cube's corners. The 6 tetravalent vertices are the bridges. TeLoRA adds a learnable bridge matrix between LoRA's A and B projections. At n=6, a cybernetic feedback mechanism discovers rhombic dodecahedral geometry: 100% block-diagonal bridges, peak coupling ratio 82,854:1.
| Paper | Question | Answer | |
|---|---|---|---|
| 1 | The Comparison | What happens when you replace the cube? | 6.1× algebraic connectivity |
| 2 | The Mechanism | Does structure amplify or attenuate? | Fiedler eigenvalue ≈0.10 (scale-invariant) |
| 3 | The Discovery | What happens when you embrace the cube? | TeLoRA discovers RD geometry at n=6 |
| Repo | What it does | ||
|---|---|---|---|
| 🔸 | rhombic | Lattice topology benchmarks + TeLoRA neural module. 312 tests, Python 3.10–12. |  |
| ⚔️ | the-adversary | Agent-driven adversarial paper audit framework. 7 rounds, 232 findings, 87 fixed. |  |
| 📖 | LIOTHIL | Research environment scaffold for Claude Code. Drop the CLAUDE.md, start researching. |  |
Cybernetics was born as the science of communication and control — the study of how systems regulate themselves through circular causation. TASUMER MAF applies this principle at every scale.
| Scale | System | What emerges |
|---|---|---|
| Micro | Weight matrix | TeLoRA bridge discovers rhombic dodecahedral geometry |
| Meso | Research loop | Evidence → tools → consulting → experiments |
| Macro | Enterprise | The organization produces the research that produces the organization |
Examine every default. Eat your own cooking. The geometry is the argument.
TASUMER MAF — Promptcrafted LLC · Los Angeles · 1093 = prime.