How does the 3-coloring algorithm work?

It assigns initial colors to vertices using the ternary RNG and then applies a greedy loop to ensure no adjacent vertices share the same color.

What is GF(3) conservation?

It is a mathematical check included in the skill to ensure ternary streams maintain specific algebraic properties across windows of data.

What kind of diagrams can I generate?

The skill includes logic for generating ASCII-based Penrose P3 rhombus tiles, including both 'thin' and 'thick' tile variants.

Is this skill compatible with Emacs collaborative editing?

Yes, it specifically provides sexp patterns and metadata structures optimized for use with crdt.el, enabling author and timestamp tracking.

What is the role of SplitMix64 in this skill?

It provides a deterministic pseudo-random number generator used to map seeds to ternary values (-1, 0, +1) for graph coloring and color mapping.

Geiser Chicken Scheme Topological Tools

Name: Geiser Chicken Scheme Topological Tools
Author: plurigrid

byplurigrid

•

データサイエンスとML

Integrates Chicken Scheme with Geiser to provide graph 3-coloring, collaborative S-expression patterns, and Penrose diagram generation.

This skill enhances the Chicken Scheme development environment within Geiser by providing a suite of topological and mathematical utilities. It includes a robust SplitMix64 implementation for deterministic ternary 3-coloring, collaborative S-expression manipulation patterns for crdt.el, and ASCII Penrose diagram generation. Designed for developers working on graph theory, topological computing, or collaborative Lisp environments, it enables advanced features like GF(3) conservation enforcement and automated graph coloring directly within the REPL.

主な機能

01Collaborative S-expression patterns and metadata for crdt.el integration

027 GitHub stars

03GF(3) conservation checking and enforcement for ternary streams

04Chicken Scheme SplitMix64 PRNG for deterministic ternary (-1, 0, 1) output

05Automated graph 3-coloring with greedy conflict resolution

06ASCII Penrose tile generation for P3 rhombus patterns

ユースケース

01Developing mathematical simulations requiring deterministic graph coloring in Scheme

02Generating topological visualizations and Penrose tilings within a REPL workflow

03Implementing real-time collaborative editing features with CRDT-aware sexp metadata

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi geiser-chicken

For use in Claude.ai and ChatGPT

Download Skill