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Torus Knot, a still.

Math · Built from a recipe

Torus Knot

C6 on the major comb. Its drum rings at 1049.0 Hz.

Turn it in the PlaygroundTap the picture to strike it.

A torus knot is a knot that winds around the surface of a donut shape, called a torus.

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 1049.0 Hz, 4 cents sharp of C6. The next fifteen are its overtones, and each one draws its own figure: sand gathers on the lines that stay still.

The sixteen ways Torus Knot's drum can ring, lowest first.
  1. 11049 Hz
  2. 21108 Hz
  3. 31126 Hz
  4. 41311 Hz
  5. 51313 Hz
  6. 61341 Hz
  7. 71367 Hz
  8. 81380 Hz
  9. 91391 Hz
  10. 101410 Hz
  11. 111439 Hz
  12. 121452 Hz
  13. 131478 Hz
  14. 141484 Hz
  15. 151497 Hz
  16. 161502 Hz

How to play

Tap it: the knot pulls loose and springs back. Drag to turn it. Hands-on: pull it to stretch.

Its controls

ControlKindRangeStart
Pull and let goTap
GlowSlider0 to 100%60%
TwangButton
KnotList5 choicesTrefoil (2, 3)
ColorsList4 choicesSunset

About it

A torus knot is a knot that winds around the surface of a donut shape, called a torus. It goes around the hole a few times one way while it loops through it a few times the other way. The simplest is the trefoil, which winds 2 and 3 times; it is the simplest true knot, one that can never be untied without cutting it.

Tap it and the knot is pulled loose, its loops stretching and swirling; then it is let go and springs back past its rest shape and wobbles to a stop, like a spring. Choose winding counts (2, 3), (2, 5), (3, 4), (3, 5) or (2, 7) in the Splash tab: the pair counts turns around the torus's two directions. Colors changes its palette and Glow its brightness.

Details

Splats
Opens at 200,000 at Mid Detail, 60,000 at Low, and up to 330,000 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=torus-knot<script type="module" src="https://splashery.app/play/src/element.js"></script> <splashery-toy toy="torus-knot"></splashery-toy>

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