# Uniform great rhombicosidodecahedron

- Uniform great rhombicosidodecahedron
In geometry, the **uniform great rhombicosidodecahedron** is a nonconvex uniform polyhedron, indexed as U_{67}. It is also called the "quasirhombicosidodecahedron".

This model shares the name with the convex great rhombicosidodecahedron, which is also called the "truncated icosidodecahedron". Because of this confusion the word **uniform** was added to this article name.

It shares its vertex arrangement with the truncated great dodecahedron, and with the uniform compounds of 6 or 12 pentagonal prisms.

** Cartesian coordinates **

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

: (±1/τ^{2}, 0, ±(2−1/τ)): (±1, ±1/τ^{3}, ±1): (±1/τ, ±1/τ^{2}, ±2/τ)

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

** See also **

* List of uniform polyhedra

** External links **

*

*Wikimedia Foundation.
2010.*

### Look at other dictionaries:

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