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