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Aisle 6No. 96 of 460

Splashery

Menger Sponge

709,989 small parts. Assembled in your browser.

Empty. Now look down.

Menger Sponge, a still.
206009600009
$0.00

Swipe across the pack to tear it open.

Press and hold. It pulls itself together.

Let go to drop it.

It stays in its pack here. The Playground has the rest.

Playground

Math · Built from a recipe

Menger Sponge

A Menger sponge is a fractal.

Play with it in the Playground

How to play

Tap to close and carve the holes. Hands-on: pull the small cubes out one by one.

Toy facts

Item
No. 96 of 460
Shelf
Aisle 6, Math
Kind
Built from a recipe
Small parts
709,989
Sound
Yes
Hands-on
Yes
Batteries
None
Assembly
It does that itself
Licenses
Own work (made in the page)
Price
$0.00

Small parts are the splats in its usual build on a computer. A phone may draw fewer.

Its controls

ControlKindRangeStart
Close and carve the holesTap
CarveButton
LevelList2 choicesLevel 3

About it

A Menger sponge is a fractal. Start with a cube and cut it into 27 smaller cubes, like a puzzle cube. Take out the one in the middle and the six at the middle of each face, leaving 20. Then do the same to each of those 20 cubes, and again, forever. Karl Menger described it in 1926.

Tap it and every hole is plugged, the smallest first, until it is a plain cube. Then it is carved again: the big cubes slide out of the faces, then the next size down, then the smallest. Pick level 2 or 3 in the Splash tab: level 2 keeps 400 little cubes, and level 3 keeps 8,000.

Details

Splats
Opens at 200,000 at Mid Detail, 59,998 at Low, and up to 999,983 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=menger-sponge
<script type="module" src="https://splashery.app/play/src/element.js"></script>
<splashery-toy toy="menger-sponge"></splashery-toy>