plurigrid Color Mining Skill
Split-mix ternary parallel color mining using GF(3) conservation. Achieves 3^d parallelism with perfect triadic balance.
Core Concept
Split-Mix Ternary: A maximally parallel color operation where:
- Each split creates 3 sibling streams with trits {-1, 0, +1}
- Siblings always sum to 0 mod 3 (GF(3) conservation)
- At depth d, we achieve 3^d parallel mining streams
- Each stream has a deterministic color assignment
GF(3) Color Mapping
| Trit | Name | Hue Range | Role | Mining Function |
|---|---|---|---|---|
| -1 | MINUS | 180-300° (cold) | Validator | Verify mined results |
| 0 | ERGODIC | 60-180° (neutral) | Coordinator | Aggregate & balance |
| +1 | PLUS | 0-60°, 300-360° (warm) | Generator | Execute mining ops |
Usage
/color-mining [depth] [operation]
Parameters
depth: Mining depth (1-10), determines parallelism as 3^doperation: One ofmine,verify,balance,status
Examples
# Mine with 27 parallel streams (depth 3)
/color-mining 3 mine
# Verify conservation across all streams
/color-mining 4 verify
# Show mining status
/color-mining status
Implementation
The skill spawns 3^d parallel Task agents, each assigned a unique path through the ternary tree. Conservation is verified at every level.
;; Core split-mix algorithm
(defn split-mix-mine [depth seed]
(let [streams (generate-ternary-paths depth)
colors (map path->color streams)]
(pmap mine-with-color (zip streams colors))))
Parallel Mining Architecture
[Coordinator: ERGODIC]
/ | \
[MINUS] [ERGODIC] [PLUS]
validate coordinate generate
/ | \ / | \ / | \
... ... ... ... ... ...
← 3^d parallel mining streams →
Conservation Invariant
At every node in the mining tree:
Σ(sibling_trits) ≡ 0 (mod 3)
This ensures:
- Perfect load balance (equal MINUS/ERGODIC/PLUS distribution)
- No accumulation of bias in mining results
- Self-correcting parallel structure
Integration Points
- Gay.jl: Color assignments use Gay.jl HSL space
- DuckDB: Mining results stored in temporal tables
- Aptos: On-chain verification of mined color proofs
- Task agents: Parallel execution via Claude Code Task tool
Mining Rewards
Colors mined satisfy:
- Unique path hash (no collisions)
- GF(3) balanced neighborhoods
- Deterministic reproducibility from seed
Author: Split-Mix Ternary Protocol GF(3) Conservation: Guaranteed Max Parallelism: 3^10 = 59,049 streams