Splashery

Playground
Klein Bottle, a still.

Math · Built from a recipe

Klein Bottle

C5 on the major comb. Its drum rings at 550.0 Hz.

Turn it in the PlaygroundTap the picture to strike it.

A Klein bottle is a surface with no inside and no outside.

Shelf
Math
Kind
Built from a recipe
Sound
Yes
Licenses
CC0

Its note

Splashery stretches a drumhead over this Splash's outline, twelve inches across, and finds the ways it can ring. Its lowest is 550.0 Hz, 86 cents sharp of C5, 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.

The sixteen ways Klein Bottle's drum can ring, lowest first.
  1. 1550 Hz
  2. 2680 Hz
  3. 3814 Hz
  4. 4947 Hz
  5. 51027 Hz
  6. 61078 Hz
  7. 71150 Hz
  8. 81204 Hz
  9. 91273 Hz
  10. 101309 Hz
  11. 111387 Hz
  12. 121408 Hz
  13. 131487 Hz
  14. 141506 Hz
  15. 151532 Hz
  16. 161580 Hz

How to play

Tap to send water through. Set the glow in the Splash tab.

Its controls

ControlKindRangeStart
Send water throughTap
GlowSlider0 to 100%50%
SurgeButton
GlassColor#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

WorkByLicense
Bottle Slosh 2 (klein-bottle-slosh.mp3)alegemaateCC0 1.0

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=klein-bottle<script type="module" src="https://splashery.app/play/src/element.js"></script> <splashery-toy toy="klein-bottle"></splashery-toy>

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