Medial deltoidal hexecontahedron
Polyhedron with 60 faces
Medial deltoidal hexecontahedron | |
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Type | Star polyhedron |
Face | ![]() |
Elements | F = 60, E = 120 V = 54 (χ = −6) |
Symmetry group | Ih, [5,3], *532 |
Index references | DU38 |
dual polyhedron | Rhombidodecadodecahedron |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/b/bd/Medial_deltoidal_hexecontahedron.stl/220px-Medial_deltoidal_hexecontahedron.stl.png)
In geometry, the medial deltoidal hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the rhombidodecadodecahedron. Its 60 intersecting quadrilateral faces are kites.
Proportions
The kites have two angles of , one of and one of . The dihedral angle equals . The ratio between the lengths of the long and short edges is . Part of each kite lies inside 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. "Medial deltoidal hexecontahedron". 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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