Truncated great dodecahedron

It shares its vertex arrangement with three other uniform polyhedra: the nonconvex great rhombicosidodecahedron, the great dodecicosidodecahedron, and the great rhombidodecahedron; and with the uniform compounds of 6 or 12 pentagonal prisms.

This polyhedron is the truncation of the great dodecahedron:

The truncated small stellated dodecahedron looks like a dodecahedron on the surface, but it has 24 faces, 12 pentagons from the truncated vertices and 12 overlapping as (truncated pentagrams).

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File:Small stellapentakis dodecahedron.stl

The small stellapentakis dodecahedron (or small astropentakis dodecahedron) is a nonconvex isohedral polyhedron. It is the dual of the truncated great dodecahedron. It has 60 intersecting triangular faces.

• List of uniform polyhedra

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{{Citation | last1=Wenninger | first1=Magnus | author1-link=Magnus Wenninger | title=Dual Models | publisher=Cambridge University Press | isbn=978-0-521-54325-5 |mr=730208 | year=1983 | doi=10.1017/CBO9780511569371}}

• {{mathworld | urlname = TruncatedGreatDodecahedron | title = Truncated great dodecahedron}}
• {{mathworld | urlname = SmallStellapentakisDodecahedron| title =Small stellapentakis dodecahedron}}
• [http://gratrix.net/polyhedra/uniform/summary Uniform polyhedra and duals]

File:Small stellated dodecahedron truncations.gif

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Category:Nonconvex polyhedra

Category:Uniform polyhedra

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