Mandeltorus
The mandeltorus is a fractal: a shape whose small parts repeat the pattern of the whole, over and over, smaller and smaller.
This picture is a cloud of paint. You can , , , , , , and .
Paint with your finger. It stays on these splats, wherever they go next.
Your paint is on this cloud. to see the sharp picture.
- Shelf
- Photoreal
- Kind
- Capture
- Sound
- Yes
- Licenses
- CC BY 4.0, MIT, BSD
How to play
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
| Work | By | License |
|---|---|---|
| MandelTorus 4,12,8,1.5 (Spirula Studio)Converted, decimated, spherical harmonics removed, recentered and scaled. | harry7557558 | CC 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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