The City College of New YorkCCNY
Department of Mathematics
Division of Science

Meet the Platonic Solids: Dodecahedron

The dodecahedron

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.

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