Hendecagonal duotruncatoprism
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Hendecagonal duotruncatoprism | |
---|---|
Rank | 4 |
Type | Isogonal |
Notation | |
Bowers style acronym | Hendtep |
Elements | |
Cells | 121 tetragonal disphenoids, 242 wedges, 121 rectangular trapezoprisms, 22 dihendecagonal prisms |
Faces | 484 isosceles triangles, 484 isosceles trapezoids, 242+242 rectangles, 22 dihendecagons |
Edges | 242+242+484+484 |
Vertices | 484 |
Vertex figure | Mirror-symmetric bi-apiculated tetrahedron |
Measures (based on icosidigon edge length 1 and same radius ratio as uniform-derived hendecagonal duoexpandoprism) | |
Edge lengths | Edges of icosidigons (242+242): 1 |
Edges of pseudo-hendecagons (484): | |
Lacing edges (484): | |
Circumradius | |
Central density | 1 |
Related polytopes | |
Army | Hendtep |
Regiment | Hendtep |
Dual | Hendecagonal duotruncatotegum |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | I2(11)≀S2, order 968 |
Convex | Yes |
Nature | Tame |
The hendecagonal duotruncatoprism or hendtep is a convex isogonal polychoron and the tenth member of the duotruncatoprism family. It consists of 22 dihendecagonal prisms, 121 rectangular trapezoprisms, 242 wedges, and 121 tetragonal disphenoids. 2 dihendecagonal 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 hendecagonal-dihendecagonal duoprisms whose dihendecagonal prisms have a smaller radius than their hendecagonal prisms. However, it cannot be made uniform.