How does bijective index recovery work?

The mapping between an index 'n' and a color is reversible. If you have the color and the original seed, the skill can mathematically determine which index produced it.

What is a low-discrepancy sequence in this context?

It is a mathematical sequence that covers a multi-dimensional space (like a color gamut) more uniformly than random numbers, preventing clusters or gaps in visual output.

When should I use the Plastic Constant over the Golden Angle?

The Golden Angle is optimized for 1D distribution (like hue), while the Plastic Constant (φ₂) is the optimal sequence for 2D distribution, such as hue and saturation simultaneously.

Does this skill work with standard web color formats?

Yes, it generates values that can be directly applied to HSL, RGB, and other standard CSS or design framework color systems.

Low-Discrepancy Color Sequences

Name: Low-Discrepancy Color Sequences
Author: plurigrid

byplurigrid

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デザインツール

Generates uniform, deterministic color palettes using mathematical sequences with bijective index recovery for visual consistency.

This skill provides Claude with advanced mathematical foundations for uniform color space coverage using low-discrepancy sequences like the Golden Angle, Plastic Constant, and Sobol sequences. It enables deterministic, repeatable color generation where any generated color can be mapped back to its original sequence index. This is particularly useful for complex UI systems, large-scale data visualization, and topological mapping where visual coordination across multidimensional spaces is required without the randomness of standard RNGs.

主な機能

01Support for specialized sequences including Halton, Kronecker, and Pisot for high-dimensional coordination.

02Bijective index recovery to map colors back to their original sequence positions.

03Multi-dimensional color generation (1D to nD) using Golden Angle, Plastic Constant, and Sobol sequences.

04Deterministic seeding for repeatable, visually balanced color palettes across different sessions.

05Integration with Gay.jl for advanced HSL and RGB color-space management.

068 GitHub stars

ユースケース

01Creating uniform distribution patterns for generative design and topological mapping projects.

02Implementing stable color-coding for UI elements where indices must be reconstructed from visual data.

03Generating visually distinct, non-clashing color palettes for high-density data visualizations.

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi low-discrepancy-sequences

For use in Claude.ai and ChatGPT

Download Skill