
Math · Built from a recipe
Menger Sponge
D4 on the major comb. Its drum rings at 283.6 Hz.
A Menger sponge is a fractal.
- Shelf
- Math
- Kind
- Built from a recipe
- Sound
- Yes
- Hands-on
- Yes
- Licenses
- Own work (made in the page)
Its note
Splashery stretches a drumhead over this Splash's outline, twelve inches across, and finds the ways it can ring. Its lowest is 283.6 Hz, 60 cents flat of D4, the nearest tine on the comb. The next fifteen are its overtones, and each one draws its own figure: sand gathers on the lines that stay still.

- 1284 Hz
- 2449 Hz
- 3453 Hz
- 4595 Hz
- 5611 Hz
- 6644 Hz
- 7733 Hz
- 8766 Hz
- 9811 Hz
- 10820 Hz
- 11886 Hz
- 12893 Hz
- 13968 Hz
- 14990 Hz
- 15999 Hz
- 161030 Hz
How to play
Tap to close and carve the holes. Hands-on: pull the small cubes out one by one.
Its controls
| Control | Kind | Range | Start |
|---|---|---|---|
| Close and carve the holes | Tap | ||
| Carve | Button | ||
| Level | List | 2 choices | Level 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.



