Platonic Solids

Splashery stretches a drumhead over this Splash's outline, twelve inches across, and finds the ways it can ring. Its lowest is 286.7 Hz, 42 cents flat of D4. The next fifteen are its overtones, and each one draws its own figure: sand gathers on the lines that stay still.

Tap to explode it. Hands-on: pull the faces off one by one and fit them back.

The Platonic solids are the only five convex polyhedra whose faces are all the same regular shape, meeting in the same way at every corner: the tetrahedron (4 triangles), the cube (6 squares), the octahedron (8 triangles), the dodecahedron (12 pentagons) and the icosahedron (20 triangles). They are named after the Greek thinker Plato, and Euclid proved there can be no others.

It starts as a dodecahedron. Tap it to explode its faces apart; tap again to put them back. Pick any of the five solids, and its colors, in the Splash tab. Many game dice come in these shapes. With ✋ Hands-on on, pull the faces off one by one and lay them down; bring each back near its place and it fits back in.

Made in Splashery. Its code is MIT.

This link opens it in the Playground. To put it on your own page, add the element and one script tag. Every option.