Octagonal duotruncatoprism
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Octagonal duotruncatoprism | |
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Rank | 4 |
Type | Isogonal |
Notation | |
Bowers style acronym | Odtep |
Elements | |
Cells | 64 tetragonal disphenoids, 128 wedges, 64 rectangular trapezoprisms, 16 dioctagonal prisms |
Faces | 256 isosceles triangles, 256 isosceles trapezoids, 128+128 rectangles, 16 dioctagons |
Edges | 128+128+256+256 |
Vertices | 256 |
Vertex figure | Mirror-symmetric bi-apiculated tetrahedron |
Measures (based on hexadecagon edge length 1 and same radius ratio as uniform-derived octagonal duoexpandoprism) | |
Edge lengths | Edges of hexadecagons (128+128): 1 |
Lacing edges (256): | |
Edges of pseudo-octagons (256): | |
Circumradius | |
Central density | 1 |
Related polytopes | |
Army | Odtep |
Regiment | Odtep |
Dual | Octagonal duotruncatotegum |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | I2(8)≀S2, order 512 |
Convex | Yes |
Nature | Tame |
The octagonal duotruncatoprism is a convex isogonal polychoron and the seventh member of the duotruncatoprism family. It consists of 16 dioctagonal prisms, 64 rectangular trapezoprisms, 128 wedges, and 64 tetragonal disphenoids. 2 dioctagonal prisms, 2 rectangular trapezoprisms, 3 wedges, and 1 tetragonal disphenoid join at each vertex. It can be obtained as the convex hull of two orthogonal octagonal-dioctagonal duoprisms whose dioctagonal prisms have a smaller circumradius than their octagonal prisms. However, it cannot be made uniform.