Pentagrammic crossed-antiprism
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| Uniform Pentagrammic crossed-antiprism | |
|---|---|
 |
|
| Type | Prismatic uniform polyhedron |
| Elements | F = 12, E = 20 V = 10 (χ = 2) |
| Faces by sides | 10{3}+2{5/2} |
| Schläfli symbol | s{2,5/3} |
| Wythoff symbol | | 2 2 5/3 |
| Coxeter-Dynkin |    |
| Symmetry | D5d |
| Index references | U80(a) |
| Dual | Pentagrammic concave trapezohedron |
| Properties | nonconvex |
 Vertex figure 3.3.3.5/3 |
|
In geometry, the pentagrammic crossed-antiprism is one in an infinite set of nonconvex antiprisms formed by triangle sides and two regular star polygon caps, in this case two pentagrams.
It differs from the pentagrammic antiprism by having opposite orientations on the two pentagrams.
This polyhedron is identified with the indexed name U80 as a uniform polyhedron.
 An alternative representation with hollow pentagrams. |
[edit] External links
- http://www.mathconsult.ch/showroom/unipoly/05.html
- http://mathworld.wolfram.com/PentagrammicCrossedAntiprism.html
- http://bulatov.org/polyhedra/uniform/u05.html
- http://www.math.technion.ac.il/~rl/kaleido/data/05.html
