Pentagonal frustum
Jump to navigation
Jump to search
| Pentagonal frustum | |
|---|---|
 | |
| Rank | 3 |
| Notation | |
| Bowers style acronym | Pif |
| Coxeter diagram | xy5oo&#z |
| Elements | |
| Faces | 5 isosceles trapezoids, 1+1 pentagons |
| Edges | 5+5+5 |
| Vertices | 5+5 |
| Vertex figure | Isosceles triangle (two types) |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Pyramidal-symmetric pentagonal tegum |
| Conjugate | Pentagrammic frustum |
| Abstract & topological properties | |
| Flag count | 60 |
| Euler characteristic | 2 |
| Surface | Sphere |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Symmetry | H2×I, order 10 |
| Convex | Yes |
| Nature | Tame |
The pentagonal frustum or pif, also known as the pentagonal podium, is a variant of the pentagonal prism where the bases are different sized pentagons. It generally has two different sized pentagons and 5 isosceles trapezoids as faces.
In vertex figures[edit | edit source]
A pentagonal frustum appears as the vertex figure of the great dipentary trishecatonicosachoron, a nonconvex uniform polychoron.