In geometry, the great dirhombicosidodecacron is a nonconvex isohedral polyhedron. It is the dual of the great dirhombicosidodecahedron.
| Great dirhombicosidodecacron | |
|---|---|
 |
|
| Type | Star polyhedron |
| Face | — |
| Elements | F = 60, E = 240 V = 124 (χ = −56) |
| Symmetry group | Ih, [5,3], *532 |
| Index references | DU75 |
| dual polyhedron | Great dirhombicosidodecahedron |
In Magnus Wenninger's Dual Models, it is represented with intersecting infinite prisms passing through the model center, cut off at a certain point that is convenient for the maker. Wenninger suggested these figures are members of a new class of stellation polyhedra, called stellation to infinity. However, he also acknowledged that strictly speaking they are not polyhedra because their construction does not conform to the usual definitions.
References
Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208 p. 139
External links
Weisstein, Eric W. "Great dirhombicosidodecacron". MathWorld.
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
Hellenica World - Scientific Library
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