ix-fractal

name	ix-fractal
description	Fractal generation — Takagi curves, space-filling curves, Morton codes
disable-model-invocation	true

Fractals

Generate fractal curves and space-filling curve data.

When to Use

When the user needs fractal curve data, space-filling curve coordinates, or Morton Z-order encoding/decoding.

Capabilities

• Takagi (Blancmange) curve — Nowhere-differentiable continuous fractal curve
• Hilbert curve — Space-filling curve mapping 1D → 2D, preserves locality
• Peano curve — Original space-filling curve with ternary structure
• Morton encoding — Z-order curve encode/decode for spatial hashing
• IFS chaos game — Sierpinski, Barnsley fern, Koch snowflake
• L-systems — Dragon, Sierpinski arrowhead, Koch curve

Programmatic Usage

use ix_fractal::takagi::takagi_series;
use ix_fractal::space_filling::{hilbert_curve, peano_curve, morton_encode, morton_decode};
use ix_fractal::ifs::{ifs_iterate, sierpinski_maps};
use ix_fractal::lsystem::{dragon_curve, interpret};

MCP Tool

Tool name: ix_fractal Operations: takagi, hilbert, peano, morton_encode, morton_decode