Splashery
Mandelbulb, a still.

Family VI, Math

Plate 100

Mandelbulb

The Mandelbulb is a 3D fractal, a cousin of the famous flat Mandelbrot set.

Playground

Family
Math
Origin
Raised from a recipe
Habit
Diurnal: kept on the page
Voice
Yes, with the sound on
Hands-on
Yes
Licenses
Own work (made in the page)

How to play

Tap to turn the discs. Hands-on: drag round a disc to turn it like a lock's dial.

Notes

It is made by repeating one short formula over and over for each point in space and keeping only the points that never fly away. The mathematical fractal has detail on many scales; this splash has a fixed, finite set of points. It was found in 2009 by Daniel White and Paul Nylander.

Tap it and its seven slices turn like the dials of a combination lock, neighbors in opposite directions, then back again. Each turns one seventh of a turn, because the bulb looks the same after a seventh of a turn, so it lands on the same picture. Pick the power (power n has n − 1 lobes) or a Julia bulb, which turns whole, in the Splash tab.

Its controls

ControlKindRangeStart
Turn the discsTap
TurnButton
PowerSetting
KindList2 choicesMandelbulb
Julia pointList4 choicesc = (−0.8, 0.4, 0.4)

Details

Splats
Opens at 200,000 at Mid Detail, 60,000 at Low, and up to 1,000,000 at Max

Sources and credits

Made in Splashery. Its code is MIT.

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

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