Sierpinski Tetrix
A Sierpinski tetrahedron is a fractal pyramid.
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
- Math
- Kind
- Built from a recipe
- Sound
- Yes
- Hands-on
- Yes
- Licenses
- Own work (made in the page)
How to play
Tap to explode it. Hands-on: lift the small tetrahedra off and stack them back.
Its controls
| Control | Kind | Range | Start |
|---|---|---|---|
| Explode | Tap | ||
| Explode | Switch | Off | |
| Level | List | 3 choices | Level 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>
Nearby
Menger SpongeA Menger sponge is a fractal.
MandelbulbThe Mandelbulb is a 3D fractal, a cousin of the famous flat Mandelbrot set.
Platonic SolidsThe Platonic solids are the only five convex polyhedra whose faces are all the same regular shape, meeting in the same way at every corner: the tetrahedron (4 triangles), the cube (6 squares), the octahedron (8 triangles), the dodecahedron (12 pentagons) and the icosahedron (20 triangles).
Pythagoras ProofIn a right triangle, the two short sides a and b and the long side c always fit a rule: a² + b² = c².