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 ✓

See Also

• gay-mcp - MCP server for color generation
• triad-interleave - 3-stream scheduling
• world-hopping - Badiou possible world navigation