- Truncated great dodecahedron
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Truncated great dodecahedron Type Uniform star polyhedron Elements F = 24, E = 90
V = 60 (χ = −6)Faces by sides 12{5/2}+12{10} Wythoff symbol 2 5/2 | 5 Symmetry group Ih, [5,3], *532 Index references U37, C47, W75
10.10.5/2
(Vertex figure)
Small stellapentakis dodecahedron
(dual polyhedron)In geometry, the truncated great dodecahedron is a nonconvex uniform polyhedron, indexed as U37. It is given a Schläfli symbol t0,1{5,5/2}.
Related polyhedra
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.
Nonconvex great rhombicosidodecahedron
Great dodecicosidodecahedron
Great rhombidodecahedron
Truncated great dodecahedron
Compound of six pentagonal prisms
Compound of twelve pentagonal prismsThis 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).
Name Small stellated dodecahedron Truncated small stellated dodecahedron Dodecadodecahedron Truncated
great
dodecahedronGreat
dodecahedronCoxeter-Dynkin
diagramPicture See also
External links
Star-polyhedra navigator Kepler-Poinsot polyhedra
(Nonconvex regular polyhedra)Uniform truncations of Kepler-Poinsot polyhedra dodecadodecahedron · truncated great dodecahedron · rhombidodecadodecahedron · Truncated dodecadodecahedron · snub dodecadodecahedron · great icosidodecahedron · truncated great icosahedron · nonconvex great rhombicosidodecahedron · · great truncated icosidodecahedronNonconvex uniform Hemipolyhedra Duals of nonconvex uniform polyhedra medial rhombic triacontahedron · small stellapentakis dodecahedron · medial deltoidal hexecontahedron · small rhombidodecacron · medial pentagonal hexecontahedron · medial disdyakis triacontahedron · great rhombic triacontahedron · great stellapentakis dodecahedron · great deltoidal hexecontahedron · great disdyakis triacontahedron · great pentagonal hexecontahedronDuals of Nonconvex uniform
(Infinite stellations)tetrahemihexacron · hexahemioctacron · octahemioctacron · small dodecahemidodecacron · small icosihemidodecacron · great dodecahemidodecacron · great icosihemidodecacron · great dodecahemicosacron · small dodecahemicosacronThis polyhedron-related article is a stub. You can help Wikipedia by expanding it.