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

Today let's look at my favorite!