plurigrid Julia Gay Skill
Trit: +1 (PLUS - generative color computation)
Foundation: Gay.jl + SplitMix64 + SPI
Core Concept
Gay.jl provides:
- Deterministic color from seed + index
- GF(3) trit classification
- SPI-compliant parallel fingerprints
- Wide-gamut color space support
API
using Gay
# Color at index
color = color_at(seed, index)
# => (r=0.65, g=0.32, b=0.88)
# Palette generation
palette = Gay.palette(seed, 5)
# Trit classification
trit = Gay.trit(color) # => -1, 0, or +1
# XOR fingerprint
fp = Gay.fingerprint(colors)
SPI Guarantees
# Strong Parallelism Invariance
@assert fingerprint(colors_thread1) ⊻ fingerprint(colors_thread2) ==
fingerprint(vcat(colors_thread1, colors_thread2))
Ergodic Bridge
using Gay: ErgodicBridge
# Create time-color bridge
bridge = create_bridge(seed, n_colors)
# Verify bidirectionally
verify_bridge(bridge)
# Detect obstructions
obstructions = detect_obstructions(seed, n_samples)
Canonical Triads
bisimulation-game (-1) ⊗ acsets (0) ⊗ julia-gay (+1) = 0 ✓
sheaf-cohomology (-1) ⊗ bumpus-narratives (0) ⊗ julia-gay (+1) = 0 ✓
spi-parallel-verify (-1) ⊗ triad-interleave (0) ⊗ julia-gay (+1) = 0 ✓
Julia Scientific Package Integration
From julia-scientific skill - related Julia packages for color/visualization:
| Package | Use | julia-scientific Category |
|---|---|---|
| Colors.jl | Color types, conversions | Visualization |
| ColorSchemes.jl | Predefined palettes | Visualization |
| Makie.jl | GPU-accelerated vis with color | Visualization |
| CairoMakie.jl | Publication-quality with color | Visualization |
| AlgebraOfGraphics.jl | Grammar-of-graphics + color | Visualization |
| Catlab.jl | ACSets + color labeling | Data Science |
| Gay.jl | Core deterministic colors | Core |
Bridge to Scientific Domains
# Molecular visualization with deterministic colors
using Gay, MolecularGraph, CairoMakie
mol = smilestomol("CCO")
atom_colors = [Gay.color_at(seed, i) for i in 1:natoms(mol)]
visualize_molecule(mol, colors=atom_colors)
# Single-cell UMAP with Gay.jl cluster colors
using Gay, SingleCellProjections, CairoMakie
clusters = cluster(adata)
cluster_colors = Gay.palette(seed, n_clusters)
scatter(umap_coords, color=cluster_colors[cluster_labels])
See Also
gay-mcp- MCP server for color generationtriad-interleave- 3-stream schedulingworld-hopping- Badiou possible world navigationjulia-scientific- Full Julia package mapping (137 skills)
Scientific Skill Interleaving
This skill connects to the K-Dense-AI/claude-scientific-skills ecosystem:
Visualization
- matplotlib [○] via bicomodule
- Hub for all visualization
Bibliography References
general: 734 citations in bib.duckdb
Cat# Integration
This skill maps to Cat# = Comod(P) as a bicomodule in the equipment structure:
Trit: 0 (ERGODIC)
Home: Prof
Poly Op: ⊗
Kan Role: Adj
Color: #26D826
GF(3) Naturality
The skill participates in triads satisfying:
(-1) + (0) + (+1) ≡ 0 (mod 3)
This ensures compositional coherence in the Cat# equipment structure.