### Meet the Platonic Solids: Octahedron

The Platonic solids have been known since antiquity, and they play a
prominent role in Plato's description of the physical world. The planar
faces of each solid are identical polygons. Only equilateral triangles,
squares and regular pentagons appear.

Although the platonic solids seem to be purely geometric objects,
they embody a number of deep algebraic features. Their symmetries, for example, relate to the solution of polynomial equations of low degree.

If you would like to learn more about Platonic solids, you can start
here.