Splashery.ContentsPlayground
Torus Knot, a still.

Fig. 98. §6 Math

Torus Knot

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

PlaygroundHow to play

1Facts

Shelf
Math
Kind
Built from a recipe
Sound
Yes
Hands-on
Yes
Licenses
Own work (made in the page)

2How to play

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

3Its controls

Table I. Every control on this Splash.

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

4About 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.

5Details

Splats
Opens at 200,000 at Mid Detail, 60,000 at Low, and up to 330,000 at Max

6Sources and credits

Made in Splashery. Its code is MIT.

7Share 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>

8Nearby