Intuition Machine
Architecture
AI-Native Organisations
Six layers, from an invariant core to a licensed saboteur, each with a formal counterpart in the theory.
The theory underneath the engineering
Our engineering rests on Quaternion Process Theory of Cognition: a formal account of how organisations learn, and of the ways they quietly stop. It is small enough to check by machine, and it publishes what it has not yet proved.
Why this is not consulting
The account is small enough to check by machine
7Axioms
1Derived operator
9Load-bearing theorems
12Matrix cells
12Recurring loops
43/43Checks verified
Formal core
The Kernel
Three levels, four columns and one operator — with an interactive matrix you can run words on.
Processes
The Loops
Twelve recurring processes, each written as a word that closes back on its start.
Failure modes
Diagnosis
Pathologies as minimal edits to healthy processes, and the seven-layer diagnostic that locates them.
Instruments
Connection Machine & Intuition Machine
Two instruments built on the kernel — one traces grounding, one makes routing explicit — and where each supports Map, Build and Prove.
Interactive
Explorations
Hands-on companions to the theory: the Semiosis Atlas and a four-dimensional chess variant.
Explainer
3D aperiodic tiles
How a single tile can fill space without ever repeating — supertiles of supertiles, each piece inside a unique infinite hierarchy.
Start with one workflow.
We map your constraints, build a governed AI workflow alongside your existing operations, and prove the results before autonomy expands.