Asi dd3c3c

'Worldmat TiDAR: 3×3×3 matrix of diffusion draft + AR verify executions

install

source · Clone the upstream repo

git clone https://github.com/plurigrid/asi

Claude Code · Install into ~/.claude/skills/

T=$(mktemp -d) && git clone --depth=1 https://github.com/plurigrid/asi "$T" && mkdir -p ~/.claude/skills && cp -r "$T/skills/dd3c3c" ~/.claude/skills/plurigrid-asi-dd3c3c && rm -rf "$T"

manifest: skills/dd3c3c/SKILL.md

source content

dd3c3c — Worldmat TiDAR

Color:

#DD3C3C

(scarlet, hue 0°)
Knight Tour Position: 1 (entry point)
Golden Angle: 137.508° per step

Overview

A Worldmat is a 3×3×3 matrix of TiDAR executions structured by:

Axis	Values	GF(3)
Polarity	MINUS(-1), ERGODIC(0), PLUS(+1)	Conservation
Temporal	PAST(0), PRESENT(1), FUTURE(2)	Slice sum = 0
Modality	OBSERVATION(0), ACTION(1), PREDICTION(2)	Per axis

TiDAR Pattern (arXiv:2511.08923)

Phase 1: Diffusion Draft (parallel)
  └─ SplitMix64.split(n) → n independent token streams
  
Phase 2: AR Verify (sequential)  
  └─ Hash chain: prev ⊕ token → verified

Usage

from worldmat import Worldmat, verify_spi

# Initialize with drand seed
wm = Worldmat(master_seed=0x87079c9f1d3b0474)

# Execute all 27 cells via TiDAR
wm.execute_parallel()

# Verify GF(3) conservation
gf3 = wm.verify_gf3()  # All slices sum to 0 mod 3

# Verify SPI (parallel == sequential)
spi = verify_spi(seed)  # fingerprints match ✓

# Export as ACSet
acset = wm.to_acset()

Knight Tour Discovery

Skills are discovered via knight moves through color space:

Position 1: #DD3C3C (this skill) ← ENTRY
Position 2: #3CDD6B (+137.5°)
Position 3: #9A3CDD (+275.0°)
...
Position 27: #DD3C7E (+335.2°) ← EXIT

Jump pattern on 3×3×3:

(±1,±2,0)

(±2,±1,0)

(±1,0,±2)

, etc.

Implementation

/Users/bob/ies/worldmat/worldmat.py

GF(3) Invariants

Every polarity slice (9 cells): Σ trits ≡ 0 (mod 3)
Every temporal slice (9 cells): Σ trits ≡ 0 (mod 3)
Every modality slice (9 cells): Σ trits ≡ 0 (mod 3)
MINUS ⊗ ERGODIC ⊗ PLUS = 0 always

Color Schema

Polarity	Hex	Trit
MINUS	`#9E16EF`	-1
ERGODIC	`#55D9A0`	0
PLUS	`#AF3424`	+1

End-of-Skill Interface

Related Skills

```
3cdd6b
```
— Knight tour position 2 (next)
```
three-match
```
— 3-coloring gadget
```
spi-parallel-verify
```
— Fingerprint verification
```
gay-mcp
```
— Deterministic color generation

Autopoietic Marginalia

The interaction IS the skill improving itself.

Every use of this skill is an opportunity for worlding:

MEMORY (-1): Record what was learned
REMEMBERING (0): Connect patterns to other skills
WORLDING (+1): Evolve the skill based on use

Add Interaction Exemplars here as the skill is used.