ix-fractal

Generate fractal curves, space-filling curves, and Morton encoding data.

Updated Mar 12, 2026

Search Tags:#fractal #L-system #space-filling curve #Morton encoding #IFS chaos game

Ready to run

npx skills add https://github.com/GuitarAlchemist/ix --skill ix-fractal

💬 Prompt for ChatGPT / Claude Chat▼

Please help me install this Agent Skill.
Skill: ix-fractal
Source: https://github.com/GuitarAlchemist/ix/tree/main/.claude/skills/ix-fractal
Command: npx skills add https://github.com/GuitarAlchemist/ix --skill ix-fractal

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes scripts (resource) components.

What problem does it solve?

This Skill provides the ability to generate fractal curves and space-filling curve data, useful for various applications in mathematics, design, and computer graphics.

Core Features & Use Cases

Fractal Curves: Generate Takagi curves, Hilbert curves, Peano curves, and more.
Space-Filling Curves: Offers Hilbert and Peano curves for 1D to 2D mapping.
Morton Encoding: Perform Z-order curve encoding/decoding for spatial hashing.
IFS Chaos Game: Generate Sierpinski, Barnsley fern, Koch snowflake fractals.
L-systems: Create fractals like the Dragon curve and Sierpinski arrowhead.

Quick Start

Generate a Takagi curve with 10 iterations using the ix-fractal skill.

Frequently Asked Questions about ix-fractal

High-intent search queries and answers about installing and using this skill.

FAQPage Schema

How do I generate Hilbert and Peano space-filling curves for 1D to 2D mapping?▼

To generate space-filling curves for 1D to 2D mapping, use this Skill to compute Hilbert and Peano curves. It processes mathematical models to produce spatial coordinate data suitable for computational geometry and complex pattern visualization.

What is Morton encoding and how does it handle spatial hashing?▼

Morton encoding handles spatial hashing by mapping multidimensional spatial coordinates into a single continuous Z-order curve. This Skill performs Z-order curve encoding and decoding to generate sequential spatial data for computational geometry tasks.

Can I use the IFS chaos game to generate Sierpinski and Barnsley fern fractals?▼

You can generate Sierpinski, Barnsley fern, and Koch snowflake fractals using the IFS chaos game. This Skill computes Iterated Function System algorithms to produce coordinate sets for mathematical modeling and computer graphics.

How do I create Dragon curve and Sierpinski arrowhead fractals using L-systems?▼

Create Dragon curve and Sierpinski arrowhead fractals using L-systems by applying this Skill's Lindenmayer system functions. It processes recursive string rewriting rules to generate structured fractal curve data for design and simulation.

Does this Skill require external dependencies to calculate Takagi curves and fractal patterns?▼

No external dependencies are required to calculate Takagi curves and fractal patterns. This Skill operates independently using internal scripts to generate mathematical curve data and simulate complex geometric structures.

What is the best way to visualize complex fractal curves generated for computational geometry?▼

The best way to visualize complex fractal curves is to use the generated coordinate data from this Skill with your own graphics library. It outputs the raw mathematical models and curve data needed for rendering complex patterns in design applications.