True sizeNoneit has no size
Math · Built from a recipe
Klein Bottle
PlaygroundThe others with no size
A Klein bottle is a surface with no inside and no outside.
- Shelf
- Math
- Kind
- Built from a recipe
- Sound
- Yes
- Licenses
- CC0
How to play, in the Playground
Tap to send water through. Set the glow in the Splash tab.
Its controls
| Control | Kind | Range | Start |
|---|---|---|---|
| Send water through | Tap | ||
| Glow | Slider | 0 to 100% | 50% |
| Surge | Button | ||
| Glass | Color | #3fb6c9 |
About it
A Klein bottle is a surface with no inside and no outside. Its neck bends around and passes through its own side to join the bottom from within, so an ant crawling on it could reach every part of it without ever crossing an edge. Felix Klein described it in 1882. A true Klein bottle needs four dimensions; in our world its neck has to cut through the wall.
Tap it and a surge of glowing water pours in at the base, runs up the body, through the neck and around into the bottom, then fades. Set the glow, or pick the color of the glass, in the Splash tab.
Details
- Splats
- Opens at 200,000 at Mid Detail, 48,000 at Low, and up to 200,000 at Max
Sources and credits
| Work | By | License |
|---|---|---|
| Bottle Slosh 2 (klein-bottle-slosh.mp3) | alegemaate | CC0 1.0 |
