Fig. 96. §6 Math
Menger Sponge
A Menger sponge is a fractal.
1Facts
- Shelf
- Math
- Kind
- Built from a recipe
- Sound
- Yes
- Hands-on
- Yes
- Licenses
- Own work (made in the page)
2How to play
Tap to close and carve the holes. Hands-on: pull the small cubes out one by one.
3Its controls
Table I. Every control on this Splash.
| Control | Kind | Range | Start |
|---|---|---|---|
| Close and carve the holes | Tap | ||
| Carve | Button | ||
| Level | List | 2 choices | Level 3 |
4About 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.
5Details
- Splats
- Opens at 200,000 at Mid Detail, 59,998 at Low, and up to 999,983 at Max
6Sources and credits
Made in Splashery. Its code is MIT.
