Disclaimer: I cannot do math or think in a mathy way. This is my attempt. I know I got stuff wrong. Enjoy.
Plato isn't really my favorite of the philosophers I've read about, but I recently learned about the existence of the concept of platonic solids, and as a lover of the arcane and of DND I simply couldn't resist.
A platonic solid is a "convex regular polyhedron in three-dimensional Euclidean space". What does that mean? Well, the more simple explanation is a polyhedron in which "the faces are congruent (identical in shape and size) regular polygons (all angles congruent and all edges congruent), and the same number of faces meet at each vertex". Plato believed that the different elements were made up of tiny versions of these polyhedrons:
"Earth was associated with the cube, air with the octahedron, water with the icosahedron, and fire with the tetrahedron...of the fifth Platonic solid, the dodecahedron, Plato obscurely remarked, '...the god used [it] for arranging the constellations on the whole heaven'"
After I read this I poured my dark blue glittery dice onto my bed and then held my D-12 in my hand. The universe was in my palm. The stars behind my eyes.
Source: https://en.wikipedia.org/wiki/Platonic_solid
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