TASUMER MAF

κυβερνήτης — the steersman

Cybernetics consulting. Lattice topology research. Open tools.

Examine Every Default

Every computation — neural networks, simulations, databases — defaults to cubic lattice topology: 6-connected grids. Each node talks to 6 neighbors along 3 axis-aligned directions. It is the geometry of spreadsheets, voxel grids, and attention heads. 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 — a 14-vertex polyhedron that tessellates all of 3D space. 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.

6.1×
algebraic connectivity under corpus weights (Paper 2)

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 that convert cubic topology into space-filling FCC. TeLoRA adds a learnable bridge matrix between LoRA’s A and B projections. At n=6, a cybernetic feedback mechanism (the Steersman) discovers rhombic dodecahedral geometry: 100% block-diagonal bridges, peak coupling ratio 82,854:1, across four model families (1.1B–14B).

“What happens when you replace the cube?”
The comparison.
“Does structure amplify or attenuate?”
The mechanism.
“What happens when you embrace the cube?”
The discovery.

The Steersman

Cybernetics was born as the science of communication and control — the study of how systems regulate themselves through circular causation, not through command. TASUMER MAF applies this principle to AI systems architecture, organizational design, and computational infrastructure.

Wiener
1948

Communication and control. Named the field for the steersman who reads the wake and adjusts the rudder. Governance emerges from feedback, not force.

Ashby
1956

Requisite Variety. A regulator must have at least as much variety as the system it regulates. 12 connections absorb what 6 cannot.

Beer
1959

Viable System Model. Organizational topology IS architecture topology. The structure of a viable system mirrors the structure of the environment it must absorb.

Bateson
1972

Ecology of Mind. The observer is part of the system. The map participates in the territory. The tool that measures connectivity is itself a connected system.

Maturana & Varela
1973

Autopoiesis. A system that produces the components that produce the system. Research produces evidence produces tools produces research.

Pask
1975

Conversation Theory. Knowledge emerges through structured dialogue between participants. Human-AI collaboration as Paskian conversation.

Von Foerster
1995

Ethics of self-reference. “Act always so as to increase the number of choices.” Open methodology expands the space. Proprietary results fund the expansion.

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

Tools

rhombic

312 tests · MPL-2.0 · Python 3.10–3.12

Lattice topology benchmarks proving cubic networks leave 6.1× connectivity on the table. TeLoRA neural module with cybernetic Steersman feedback.

GitHub · PyPI · Demo

The Adversary

7-round audit · MPL-2.0

Agent-driven adversarial paper audit framework. 232 findings across 7 rounds, 87 fixed, zero critical remaining.

GitHub

LIOTHIL

MIT

Research environment scaffold for Claude Code. Domain knowledge injection, multi-agent orchestration, epistemic charter enforcement.

GitHub

The Circuit

The autopoietic loop: each stage produces the next. The enterprise is the thesis made organizational.

Research
Evidence
Consulting
Revenue
Experiments
Products

Principles

  1. Feedback, not force. The steersman reads the wind and adjusts. We demonstrate alternatives. The client steers.
  2. Only variety absorbs variety. A six-connected lattice cannot regulate twelve-fold complexity. When a system fails under load, the fix is geometric.
  3. Irreducibility. 1093 is prime. The value proposition is one thing, whole. Not decomposable into simpler products.
  4. The geometry is the argument. No borrowed aesthetics, no inflated claims. Here are the results. They speak for themselves.
  5. Eat your own cooking. The way you build a tool should embody its thesis. Meta-coherence separates serious work from cargo cult.
  6. Sparse results are data. A test that shows no advantage is a finding. An audit that finds nothing wrong is a deliverable.
  7. Cost is always reported alongside benefit. 2.4× connectivity at ~2× the edges. We say both.
  8. Open methodology, proprietary results. The recipe is free. The spice is ours.