Rhombidodecadodecahedron

In geometry, the rhombidodecadodecahedron is a nonconvex uniform polyhedron, indexed as U₃₈.

By the Wythoff construction this polyhedra can also be named a "cantellated great dodecahedron".

It shares its vertex arrangement with the uniform compounds of 10 or 20 triangular prisms.

Cartesian coordinates

Cartesian coordinates for the vertices of a uniform great rhombicosidodecahedron are all the even permutations of

: (±1/τ², 0, ±τ²)): (±1, ±1, ±(2τ−1)): (±2, ±1/τ, ±τ)

where τ = (1+√5)/2 is the golden ratio (sometimes written φ).

See also

* List of uniform polyhedra

External links

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