| 词条 | Truncated great dodecahedron | |||||||||||||||||||
| 释义 |
In geometry, the truncated great dodecahedron is a nonconvex uniform polyhedron, indexed as U37. It is given a Schläfli symbol t{5,5/2}. Related polyhedraIt 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).
Small stellapentakis dodecahedron{{Uniform polyhedra db|Uniform dual polyhedron stat table|tgD}}The small stellapentakis dodecahedron is a nonconvex isohedral polyhedron. It is the dual of the truncated great dodecahedron. It has 60 intersecting triangular faces. See also
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2 : Nonconvex polyhedra|Uniform polyhedra |
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