Isosceles trapezoidal pyramid
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| Isosceles trapezoidal pyramid | |
|---|---|
 | |
| Rank | 3 |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Trapyr |
| Coxeter diagram | oxx&#x |
| Elements | |
| Faces | 1+1 isosceles triangles, 2 scalene triangles, 1 isosceles trapezoid |
| Edges | 1+1+2+2+2 |
| Vertices | 1+2+2 |
| Vertex figure | 1 isosceles trapezoid, 1+1 isosceles triangles, 2 scalene triangles |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Kite pyramid |
| Abstract properties | |
| Euler characteristic | 2 |
| Topological properties | |
| Surface | Sphere |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Symmetry | A1×I×I, order 2 |
| Convex | Yes |
| Nature | Tame |
An isosceles trapezoidal pyramid is a pyramid based on an isosceles trapezoid. It has 1 isosceles trapezoid as the base, 2 different isosceles triangles, and 2 identical scalene triangles as faces, with only bilateral symmetry.
In vertex figures[edit | edit source]
A total of 30 uniform polychora have isosceles trapezoidal pyramids for vertex figures, including all the runcitruncated polychora, also known as prismatorhombates. In addition, 7 prisms, as well as all non-crossed antiprismatic prisms, have isosceles trapezoidal pyramids for vertex figures.