Triangular frustum
(Redirected from Triangular podium)
| Triangular frustum | |
|---|---|
 | |
| Rank | 3 |
| Notation | |
| Bowers style acronym | Trif |
| Coxeter diagram | xy3oo&#z |
| Elements | |
| Faces | 1+1 triangles, 3 isosceles trapezoids |
| Edges | 3+3+3 |
| Vertices | 3+3 |
| Vertex figure | Isosceles triangle (two types) |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Pyramidal-symmetric triangular tegum |
| Conjugate | Triangular frustum |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Surface | Sphere |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Symmetry | A2×I, order 6 |
| Convex | Yes |
| Nature | Tame |
The triangular frustum or trif, also known as a triangular podium, is a variant of the triangular prism where the bases are different sized equilateral triangles. It generally has two different sized triangles and 3 isosceles trapezoids as faces.
In vertex figures[edit | edit source]
4 nonconvex uniform polychora have triangular frustums for vertex figures, including the great tesseractitesseractihexadecachoron, great ditrigonal hecatonicosihexacosihecatonicosachoron, great hexacosihecatonicosihecatonicosachoron, and small hecatonicosihecatonicosihexacosichoron.