Great stellapentakis dodecahedron
Polyhedron with 60 faces
Great stellapentakis dodecahedron | |
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Type | Star polyhedron |
Face | |
Elements | F = 60, E = 90 V = 32 (χ = 2) |
Symmetry group | Ih, [5,3], *532 |
Index references | DU55 |
dual polyhedron | Truncated great icosahedron |
In geometry, the great stellapentakis dodecahedron (or great astropentakis dodecahedron) is a nonconvex isohedral polyhedron. It is the dual of the truncated great icosahedron. It has 60 intersecting triangular faces.
Proportions
The triangles have one angle of and two of . The dihedral angle equals . Part of each triangle lies within the solid, hence is invisible in solid models.
References
- Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208
External links
- Weisstein, Eric W. "Great stellapentakis dodecahedron". MathWorld.
- Uniform polyhedra and duals
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polyhedra (nonconvex
regular polyhedra)
- small stellated dodecahedron
- great dodecahedron
- great stellated dodecahedron
- great icosahedron
of Kepler-Poinsot
polyhedra
hemipolyhedra
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 hexecontahedron
uniform polyhedra with
infinite stellations
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