Generative Geometry

Hilbert Weave

A Hilbert space-filling curve draws itself as a glowing teal-to-violet ribbon with a leading spark, cycling through orders 2–5 and looping continuously.

canvasmedium complexitymoderate motionpointer

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When to use it

Generative art backgrounds, math/algorithm showcase sections, dark-themed hero panels needing ambient geometric motion.

When not to

Light backgrounds (hardcoded dark navy). Contexts where high segment-count draw loops at order 5 (1024 cells) may stress low-end CPUs.

Working with an AI agent

Every component ships agent-ready metadata. An example instruction for this one:

Change the hue sweep from teal-violet to amber-rose by setting the base hue to 30 and the sweep range to 120 (line: `const h=(168+f*150)%360` → `const h=(30+f*120)%360`). Theme: dark tokens live in :root, the light variant in :root[data-theme="light"]; ?theme=light or a {type:'forever:theme'} postMessage switches at runtime.

Safe to edit

hue base and sweep range (168 + f*150)
draw speed (SPEED = 0.018)
hold duration before order advance (hold > 90)
order range (2..5 in the order++ loop)
ribbon width multiplier (cell * 0.30)
theme tokens (:root dark defaults + [data-theme=light] overrides)

Keep intact

DPR-aware canvas sizing and setTransform
visibilitychange start/stop guards
IIFE wrapper
prefers-reduced-motion static render branch
theme hook (?theme= bootstrap + forever:theme message listener + theme tokens)

Known limitations

Per-segment draw loop scales as O(n²) cells — order 5 draws 1023 segments twice per frame (glow + core), may drop frames on slow hardware
Background color hardcoded in CSS (#021016) — must edit both CSS and ctx.fillStyle to change

hilbert-curvespace-fillinggenerativecanvasribbontealrecursive

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