Heptagonal duotruncatoalterprism
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| Heptagonal duotruncatoalterprism | |
|---|---|
| Rank | 4 |
| Type | Isogonal |
| Elements | |
| Cells | 49 tetragonal disphenoids, 49 rectangular trapezoprisms, 14 heptagonal prisms, 28 heptagonal cupolas |
| Faces | 196 isosceles triangles, 196 isosceles trapezoids, 98 rectangles, 28 heptagons, 14 diheptagons |
| Edges | 98+98+196+196 |
| Vertices | 196 |
| Vertex figure | Monoaugmented isosceles trapezoidal pyramid |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Heptagonal duotruncatoaltertegum |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | I2(7)≀S2, order 392 |
| Convex | Yes |
| Nature | Tame |
The heptagonal duotruncatoalterprism is a convex isogonal polychoron and the sixth member of the duotruncatoalterprism family. It consists of 14 heptagonal prisms, 28 heptagonal cupolas, 49 rectangular trapezoprisms, and 49 tetragonal disphenoids. 1 heptagonal prism, 3 heptagonal cupolas, 2 rectangular trapezoprisms, and 1 tetragonal disphenoid join at each vertex. It can be obtained as the convex hull of two orthogonal heptagonal-diheptagonal duoprisms. However, it cannot be made scaliform.