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}
Coxeter diagram
Wythoff symbol	2 5/2 | 5 2 5/3 | 5
Symmetry group	Ih, [5,3], *532
Index references	U37, C47, W75
Dual polyhedron	Small stellapentakis dodecahedron
Vertex figure	10.10.5/2
Bowers acronym	Tigid

In

.

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

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

Small stellapentakis dodecahedron

Small stellapentakis dodecahedron
Type	Star polyhedron
Face
Elements	F = 60, E = 90 V = 24 (χ = −6)
Symmetry group	Ih, [5,3], *532
Index references	DU37
dual polyhedron	Truncated great dodecahedron

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.

See also

• List of uniform polyhedra

References

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

This polyhedron-related article is a stub. You can help Wikipedia by expanding it.

• v
• t
• e