PLATONIC SOLIDS

Tetrahedron Cube Octahedron Dodecahedron Icosahedron Four faces Six faces Eight faces Twelve faces Twenty faces (Animation) (Animation) (Animation) (Animation) (Animation) Polyhedron Vertices Edges Faces Schläfli symbol Vertex configuration tetrahedron 4 6 4 {3, 3} 3.3.3 cube 8 12 6 {4, 3} 4.4.4 octahedron 6 12 8 {3, 4} 3.3.3.3 dodecahedron 20 30 12 {5, 3} […]

REGULAR TESSELLATIONS

The three regular tessellations of the plane are closely related to the Platonic solids. Indeed, one can view the Platonic solids as regular tessellations of the sphere. This is done by projecting each solid onto a concentric sphere. The faces project onto regular spherical polygons which exactly cover the sphere. There are three possibilities: The […]