Pentagrammic toroprism
The pentagrammic toroprism is an isogonal polyhedron. It consists of 5 rectangles and 10 isosceles triangles. Each vertex joins 2 rectangles and 3 triangles. It is the blend of a pentagrammic prism and a pentagrammic antiprism.
| Pentagrammic toroprism | |
|---|---|
 | |
| Rank | 3 |
| Type | Isogonal |
| Elements | |
| Faces | 10 isosceles triangles, 5 rectangles |
| Edges | 5+10+10 |
| Vertices | 10 |
| Vertex figure | Mirror-symmetric pentagon |
| Related polytopes | |
| Army | Pip |
| Conjugate | Pentagonal toroprism |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Genus | 1 |
| Properties | |
| Symmetry | H2×A1, order 20 |
| Convex | No |
| Nature | Tame |
It appears as the vertex figure of frox, froghi, frogshi, and frogfix.