Pentagonal gyroprism
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| Pentagonal gyroprism | |
|---|---|
 | |
| Rank | 3 |
| Type | Isogonal |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Pegyp |
| Coxeter diagram | s2s5s |
| Elements | |
| Faces | 10 scalene triangles, 2 pentagons |
| Edges | 5+5+10 |
| Vertices | 10 |
| Vertex figure | Irregular tetragon |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Army | Pegyp |
| Regiment | Pegyp |
| Dual | Pentagonal gyrotegum |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Surface | Sphere |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Symmetry | (H2×A1)+, order 10 |
| Convex | Yes |
| Nature | Tame |
The pentagonal gyroprism, or pegyp is a pentagon-based gyroprism, a variant of the pentagonal antiprism where the bases are rotated by an angle other than 36°, and has 10 scalene triangles for its sides instead of isosceles triangles. It can be formed by alternating a dipentagonal prism.