12 - proof previous next

3 heptagons per corner is already too much to tile the plane. So, there are only five options:

Tetrahedron Octahedron Icosahedron Cube Dodecahedron











3 triangles
per corner 		4 triangles
per corner 		5 triangles
per corner 		3 squares
per corner 		3 pentagons
per corner

Tonight let's look at my favorite!







These pictures are from the Wikipedia article on Platonic solids. They were created by Cyp, who granted permission to use them under the GNU Free Documentation License.