Small rhombidodecacron
60-sided polyhedron
Small rhombidodecacron | |
---|---|
Type | Star polyhedron |
Face | |
Elements | F = 60, E = 120 V = 42 (χ = −18) |
Symmetry group | Ih, [5,3], *532 |
Index references | DU39 |
dual polyhedron | Small rhombidodecahedron |
In geometry, the small rhombidodecacron is a nonconvex isohedral polyhedron. It is the dual of the small rhombidodecahedron. It is visually identical to the Small dodecacronic hexecontahedron. It has 60 intersecting antiparallelogram faces.
Proportions
Each face has two angles of and two angles of . The diagonals of each antiparallelogram intersect at an angle of . The ratio between the lengths of the long edges and the short ones equals , which is the golden ratio. The dihedral angle equals .
References
- Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208
External links
- Weisstein, Eric W. "Small rhombidodecacron". 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
- dodecadodecahedron
- truncated great dodecahedron
- rhombidodecadodecahedron
- truncated dodecadodecahedron
- snub dodecadodecahedron
- great icosidodecahedron
- truncated great icosahedron
- nonconvex great rhombicosidodecahedron
- great truncated icosidodecahedron
hemipolyhedra
- tetrahemihexahedron
- cubohemioctahedron
- octahemioctahedron
- small dodecahemidodecahedron
- small icosihemidodecahedron
- great dodecahemidodecahedron
- great icosihemidodecahedron
- great dodecahemicosahedron
- small dodecahemicosahedron
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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