Pentagrammic antiprism
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| Uniform Pentagrammic antiprism | |
|---|---|
 |
|
| Type | Semiregular polyhedron |
| Elements | F=12, E=20, V=10 (χ=2) |
| Faces by sides | 10{3}+2{5/2} |
| Schläfli symbol | s{2,5/2} |
| Wythoff symbol | | 2 2 5/2 |
| Coxeter-Dynkin |    |
| Symmetry | D5d |
| Index references | U79(a) |
| Dual | Pentagrammic trapezohedron |
| Properties | nonconvex |
 Vertex figure 3.3.3.5/2 |
|
In geometry, the pentagrammic 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.
This polyhedron is identified with the indexed name U79 as a uniform polyhedron.
An alternative representation with hollow centers to the pentagrams.
[edit] External links
- Eric W. Weisstein, Pentagrammic antiprism at MathWorld.
- http://www.mathconsult.ch/showroom/unipoly/04.html
- http://www.math.technion.ac.il/~rl/kaleido/data/04.html
