Pentagrammic antiprism
| Uniform pentagrammic antiprism | |
|---|---|
| |
| Type | Prismatic uniform polyhedron |
| Elements | F = 12, E = 20 V = 10 (χ = 2) |
| Faces by sides | 10{3}+2{5/2} |
| Schläfli symbol | sr{2,5/2} |
| Wythoff symbol | | 2 2 5/2 |
| Coxeter diagram |     
|
| Symmetry | D5h, [5,2], (*552), order 20 |
| Rotation group | D5, [5,2]+, (55), order 10 |
| 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.
External links
- http://www.mathconsult.ch/showroom/unipoly/04.html
- http://mathworld.wolfram.com/PentagrammicAntiprism.html
- http://www.physics.orst.edu/~bulatov/polyhedra/uniform/u04.html
- http://www.math.technion.ac.il/~rl/kaleido/data/04.html
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