Heptagonal antiditetragoltriate
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Heptagonal antiditetragoltriate | |
---|---|
Rank | 4 |
Type | Isogonal |
Notation | |
Bowers style acronym | Headet |
Elements | |
Cells | 49+49 tetragonal disphenoids, 98 rectangular pyramids, 14 heptagonal prisms |
Faces | 196+196 isosceles triangles, 98 rectangles, 14 heptagons |
Edges | 98+98+196 |
Vertices | 98 |
Vertex figure | Biaugmented triangular prism |
Measures (based on same duoprisms as otimized heptagonal ditetragoltriate) | |
Edge lengths | Edges of smaller heptagon (98): 1 |
Lacing edges (196): | |
Edges of larger heptagon (98): | |
Circumradius | |
Central density | 1 |
Related polytopes | |
Army | Headet |
Regiment | Headet |
Dual | Heptagonal antitetrambitriate |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | I2(7)≀S2, order 392 |
Convex | Yes |
Nature | Tame |
The heptagonal antiditetragoltriate or headet is a convex isogonal polychoron and the fifth member of the antiditetragoltriate family. It consists of 14 heptagonal prisms, 98 rectangular pyramids, and 98 tetragonal disphenoids of two kinds. 2 heptagonal prisms, 4 tetragonal disphenoids, and 5 rectangular pyramids join at each vertex. However, it cannot be made scaliform.
It can be formed as the convex hull of 2 oppositely oriented semi-uniform heptagonal duoprisms where the larger heptagon is more than times the edge length of the smaller one.