Stellated Icosidodecahedron

Properties of the stellated icosidodecahedron: Number of faces, edges and dihedral angle measure

We can look at the stellated icosidodecahedron in two different ways:

stellated_id.gif (12473 bytes)

The stellated icosidodecahedron is simply the dodecahedron intersected with the icosahedron!

We can do this because the dodecahedron and the icosahedron have a very special relationship with each other: They are duals.

Dodecahedron: 12 faces, 20 vertices, 30 edges
Icosahedron: 20 faces, 12 vertices, 30 edges

They share many of the same properties -- They also share the same polyhedra when they are truncated.  To see this, go back and take another look at the Icosidodeca Family.

stell_icosidoda.gif (18002 bytes)
The term "stellated" means that this polyhedron can be created by extending the faces of the icosidodecahedron. Can you see how the blue faces can be extended to form the blue dodecahedron on the left? The yellow faces will extend to form the yellow icosahedron.