Small stellapentakis dodecahedron
Polyhedron with 60 faces
Small stellapentakis dodecahedron | |
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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 |
In geometry, the small stellapentakis dodecahedron is a nonconvex isohedral polyhedron. It is the dual of the truncated great dodecahedron. It has 60 intersecting triangular faces.
Proportions
The triangles have two acute angles of and one obtuse angle 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. "Small 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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