Splashery

Aisle 6No. 101 of 460

Splashery

Sierpinski Tetrix

510,000 small parts. Assembled in your browser.

Empty. Now look down.

Sierpinski Tetrix, a still.
206010100000
$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

Sierpinski Tetrix

A Sierpinski tetrahedron is a fractal pyramid.

Play with it in the Playground

How to play

Tap to explode it. Hands-on: lift the small tetrahedra off and stack them back.

Toy facts

Item
No. 101 of 460
Shelf
Aisle 6, Math
Kind
Built from a recipe
Small parts
510,000
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
ExplodeTap
ExplodeSwitchOff
LevelList3 choicesLevel 4

About it

A Sierpinski tetrahedron is a fractal pyramid. It is made of four smaller copies of itself, each half as tall, and each of those is made of four smaller ones, and so on. It is the 3D cousin of the Sierpinski triangle, named after the mathematician Wacław Sierpiński, who described the triangle in 1915.

Tap it to explode it into its pieces; tap again to put it back together. Pick the level in the Splash tab: each level has four times as many little pyramids, so levels 3, 4 and 5 have 64, 256 and 1,024 respectively. With ✋ Hands-on on, lift the four small tetrahedra off one by one and set them down, then stack them back: brought near its place, each settles in.

Details

Splats
Opens at 200,000 at Mid Detail, 60,000 at Low, and up to 730,000 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=sierpinski
<script type="module" src="https://splashery.app/play/src/element.js"></script>
<splashery-toy toy="sierpinski"></splashery-toy>