Truncated great dodecahedron

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 t_0,1{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 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).

Name	Small stellated dodecahedron	Truncated small stellated dodecahedron	Dodecadodecahedron	Truncated great dodecahedron	Great dodecahedron
Coxeter-Dynkin diagram
Picture

See also

• List of uniform polyhedra

External links

• Weisstein, Eric W., "Truncated great dodecahedron" from MathWorld.
• Uniform polyhedra and duals

This polyhedron-related article is a stub. You can help Wikipedia by expanding it.v · Categories: Polyhedron stubs Uniform polyhedra Wikimedia Foundation. 2010. Игры ⚽ Поможем решить контрольную работу Nurturant parent model Small stellated truncated dodecahedron Look at other dictionaries: Truncated great icosahedron — Type Uniform star polyhedron Elements F = 32, E = 90 V = 60 (χ = 2) Faces by sides 12{5/2}+20{6} Wythoff symb …   Wikipedia Dodecahedron — Regular Dodecahedron (Click here for rotating model) Type Platonic solid Elements F = 12, E = 30 V = 20 (χ = 2) Faces by sides 12{5} …   Wikipedia Truncated icosidodecahedron — (Click here for rotating model) Type Archimedean solid Uniform polyhedron Elements F = 62, E = 180, V = 120 (χ = 2) Faces by sides …   Wikipedia Truncated cuboctahedron — (Click here for rotating model) Type Archimedean solid Uniform polyhedron Elements F = 26, E = 72, V = 48 (χ = 2) Faces by sides …   Wikipedia Nonconvex great rhombicosidodecahedron — Type Uniform star polyhedron Elements F = 62, E = 120 V = 60 (χ = 2) Faces by sides 20{3}+30{4}+12{5/2} …   Wikipedia Truncated octahedron — (Click here for rotating model) Type Archimedean solid Uniform polyhedron Elements F = 14, E = 36, V = 24 (χ = 2) Faces by sides 6 …   Wikipedia Uniform great rhombicosidodecahedron — In geometry, the uniform great rhombicosidodecahedron is a nonconvex uniform polyhedron, indexed as U67. It is also called the quasirhombicosidodecahedron .This model shares the name with the convex great rhombicosidodecahedron, which is also… …   Wikipedia Great stellated truncated dodecahedron — In geometry, the great stellated truncated dodecahedron is a nonconvex uniform polyhedron, indexed as U66.It shares its vertex arrangement with the small icosicosidodecahedron. Cartesian coordinates Cartesian coordinates for the vertices of a… …   Wikipedia Great icosicosidodecahedron — In geometry, the great icosicosidodecahedron is a nonconvex uniform polyhedron, indexed as U48.It shares its vertex arrangement with the truncated dodecahedron. It additionally shares its edge arrangement with the great ditrigonal… …   Wikipedia Great ditrigonal dodecicosidodecahedron — In geometry, the great ditrigonal dodecicosidodecahedron is a nonconvex uniform polyhedron, indexed as U42.It shares its vertex arrangement with the truncated dodecahedron. It additionally shares its edge arrangement with the great… …   Wikipedia 18+ © Academic, 2000-2024 Contact us: Technical Support, Advertising Dictionaries export, created on PHP, Joomla, Drupal, WordPress, MODx. Mark and share Search through all dictionaries Translate… Search Internet Share the article and excerpts Direct link … Do a right-click on the link above and select “Copy Link”