AMA1D01C by Dr. Joseph Lee: The Platonic Solids
In geometry, a Platonic solid is a regular, convex polyhedron. It is constructed by congruent (identical in shape and size), regular polygonal faces with the same number of faces meeting at each vertex.
Mathematically, there are exactly five such solids. Drag the canvas to rotate them, or scroll to zoom. Select a shape below to learn its properties.
| Property | Value |
|---|---|
| Shape Name | - |
| Face Shape | - |
| Faces (F) | - |
| Edges (E) | - |
| Vertices (V) | - |
| SchlŠfli Symbol {p, q} (p = edges per face, q = faces per vertex) |
- |
Euler's Characteristic Formula:
V - E + F = -