Splashery
Mandeltorus, a still.
True sizeNoneit has no size
Photoreal · Capture

Mandeltorus

Math has no size. The same shape works at any size at all.

PlaygroundThe others with no size

The mandeltorus is a fractal: a shape whose small parts repeat the pattern of the whole, over and over, smaller and smaller.

Shelf
Photoreal
Kind
Capture
Sound
Yes
Licenses
CC BY 4.0, MIT, BSD

How to play, in the Playground

Tap it to spin its rings opposite ways.

About it

The mandeltorus is a fractal: a shape whose small parts repeat the pattern of the whole, over and over, smaller and smaller. It is a piece of math art, made by a computer from a formula related to the Mandelbrot set and bent into a ring, or torus.

Tap it and its rings turn opposite ways in bands with a cyan glow, then lock back into place. The mathematician Benoit Mandelbrot made up the word "fractal" in 1975; fractal patterns turn up in nature too, in ferns, coastlines and snowflakes.

Sources and credits

WorkByLicense
MandelTorus 4,12,8,1.5 (Spirula Studio)Converted, decimated, spherical harmonics removed, recentered and scaled.harry7557558CC BY 4.0

Libraries

MIT, BSD
WebP codec (splat-transform, with libwebp)

Share it

This link opens it in the Playground. To put it on your own page, add the element and one script tag. Every option.

https://splashery.app/play/?toy=mandeltorus<script type="module" src="https://splashery.app/play/src/element.js"></script> <splashery-toy toy="mandeltorus"></splashery-toy>

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