The Mysterious Hyperdice Sequence

In this class, we'll meet some mysterious sequences of numbers and shapes, use art to prove geometric truths, use the "four elements" to learn about history, and more! This is the longest and craziest episode I've made yet. Thanks for watching! Let me know in a comment which shape is your personal favorite.

Disclaimer: Do not copy any actions you see in this video. This is for educational purposes.

Some topics discussed in this video include: number sequences, dice, regular polygons (triangles, squares, pentagons, and beyond), the platonic solids (cube, tetrahedron, octahedron, dodecahedron, icosahedron), Plato's opinion of the universe's elements, convex vs. star polytopes, dual shapes, the Euler characteristic of faces/edges/vertices of polyhedra and planar graphs, the strange 4D shape known as the hyper-diamond or 24-cell, and what perfect polytopes can exist in the 5th dimension and beyond. We'll return to the 4D dice-mention in a later episode...

Combo Class, taught by Domotro, is an unconventional learning experience where anybody (whether they're a fan of normal school or not) can become excited to learn rare things about math, science, language, and more. Also check out the shorter videos on the Combo Class Bonus channel. Thanks for coming to Combo Class!