Octagonal antiditetragoltriate
Jump to navigation
Jump to search
Octagonal antiditetragoltriate | |
---|---|
Rank | 4 |
Type | Isogonal |
Notation | |
Bowers style acronym | Oadet |
Elements | |
Cells | 64+64 tetragonal disphenoids, 128 rectangular pyramids, 16 octagonal prisms |
Faces | 256+256 isosceles triangles, 128 rectangles, 16 octagons |
Edges | 128+128+256 |
Vertices | 128 |
Vertex figure | Biaugmented triangular prism |
Measures (based on same duoprisms as optimized octagonal ditetragoltriate) | |
Edge lengths | Edges of smaller octagon (128): 1 |
Lacing edges (256): | |
Edges of larger octagon (128): | |
Circumradius | |
Central density | 1 |
Related polytopes | |
Army | Oadet |
Regiment | Oadet |
Dual | Octagonal antitetrambitriate |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | I2(8)≀S2, order 512 |
Convex | Yes |
Nature | Tame |
The octagonal antiditetragoltriate or oadet is a convex isogonal polychoron and the sixth member of the antiditetragoltriate family. It consists of 16 octagonal prisms, 128 rectangular pyramids, and 128 tetragonal disphenoids of two kinds. 2 octagonal 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 octagonal duoprisms where the larger octagon is more than times the edge length of the smaller one.