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Icositruncated dodecadodecahedron

In geometry, the icositruncated dodecadodecahedron or icosidodecatruncated icosidodecahedron is a nonconvex uniform polyhedron, indexed as U<sub>45</sub>.

Convex hull

Its convex hull is a nonuniform truncated icosidodecahedron.

Cartesian coordinates

Cartesian coordinates for the vertices of an icositruncated dodecadodecahedron are all the even permutations of

where is the golden ratio.

Related polyhedra

Tridyakis icosahedron

The tridyakis icosahedron is the dual polyhedron of the icositruncated dodecadodecahedron. It has 44 vertices, 180 edges, and 120 scalene triangular faces.

See also

References

  • Photo on page 96, Dorman Luke construction and stellation pattern on page 97.

External links