Torus Knot

A torus knot is a knot that winds around the surface of a donut shape, called a torus.
This picture is a cloud of paint. You can , , , , , , and .
Paint with your finger. It stays on these splats, wherever they go next.
Your paint is on this cloud. to see the sharp picture.
- Shelf
- Math
- Kind
- Built from a recipe
- Sound
- Yes
- Hands-on
- Yes
- Licenses
- Own work (made in the page)
How to play
Tap it: the knot pulls loose and springs back. Drag to turn it. Hands-on: pull it to stretch.
Its controls
| Control | Kind | Range | Start |
|---|---|---|---|
| Pull and let go | Tap | ||
| Glow | Slider | 0 to 100% | 60% |
| Twang | Button | ||
| Knot | List | 5 choices | Trefoil (2, 3) |
| Colors | List | 4 choices | Sunset |
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>