Quantum and optical structures

Hofstadter butterfly

almost-Mathieu spectrum

A study in motion and form.

Studio tab: Hofstadter
Implementation family: cgl-hofstadter-scars-caustics-smectic-hl-phyllotaxis
Preset configurations: 4
Recorded evidence: Checks within stated limits

This evidence label refers to recorded internal checks within their stated limits. Sample renders illustrate a configuration’s output. They do not establish scientific validity.

Hofstadter butterfly, Classic preset sample — ClassicSample render

Explore a preset

4 of 4 preset stills available.

Preset gallery.

4 named configurations in this technique. Select an image to inspect its full sample above.

Hofstadter butterfly: Classic preset render — Classic

Hofstadter butterfly: Chern color preset render — Chern color

Hofstadter butterfly: Fine q=44 preset render — Fine q=44

Hofstadter butterfly: Ink preset render — Ink

All 4 preset names

Classic
Chern color
Fine q=44
Ink

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Density 55Scale 1Complexity 5

Colors

Preparing the art playground.