Generative Geometry

Apollonian Gasket

Recursive Apollonian circle packing with infinite slow zoom; circles shift from gold to blue by depth, with vignette and pointer/click nudge.

canvasheavy complexitymoderate motionpointer

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Live demo — the real component, running in a sandbox. One self-contained HTML file, zero dependencies. Open it on the canvas →

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When to use it

Math/science landing pages, generative art backdrops, contemplative infinite-zoom fractal backgrounds.

When not to

Contexts needing legible overlaid text — the constant zoom and vignette compete with reading. Low-end devices may stutter.

Working with an AI agent

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

Change the color palette from gold-to-blue to magenta-to-cyan by editing the cr/cg/cb formula: set cr=Math.round(220-heat*80), cg=Math.round(60+heat*140), cb=Math.round(180+heat*60). 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

zoom speed (t*0.0009)
max recursion depth (MAX=7)
color gradient per depth (cr/cg/cb formula)
curvature cutoff (c4.b>900)
nudge strength on click (nudge=1.6)
theme tokens (:root dark defaults + [data-theme=light] overrides)

Keep intact

IIFE wrapper
DPR-aware canvas sizing
visibilitychange pause/start
prefers-reduced-motion static-frame guard
theme hook (?theme= bootstrap + forever:theme message listener + theme tokens)

Known limitations

Hundreds of arc calls per frame — heavier on low-end devices at high DPR
Background color hardcoded in both CSS and canvas fillStyle — must change both to retheme
Depth-fade bands shift if MAX recursion depth is changed without recalibrating visD

apolloniancircle-packinggenerativefractalgeometryzoomcanvas

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