Biapiculatotetrahedral 1-bitritetrahedral swirlprism
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Biapiculatotetrahedral 1-bitritetrahedral swirlprism | |
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Rank | 4 |
Type | Isogonal |
Elements | |
Cells | 48+48 irregular tetrahedra, 48 isosceles trapezoidal pyramids, 24 bi-apiculated tetrahedra |
Faces | 48+48+48+48+48+48+48+48 scalene triangles, 24 isosceles trapezoids |
Edges | 24+24+48+48+48+48+48 |
Vertices | 48 |
Vertex figure | 12-vertex polyhedron with 13 triangles, 2 tetragons, and 1 pentagon |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Edge-truncated tetrahedral intersected 1-bitritetrahedral swirltegum |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | A3●K2, order 48 |
Convex | Yes |
Nature | Tame |
The biapiculatotetrahedral 1-bitritetrahedral swirlprism is a convex isogonal polychoron, formed as a convex hull of two icositetrachora in a way that leaves six corealmic vertices corresponding to a bi-apiculated tetrahedron. It consists of 24 bi-apiculated tetrahedra, 48 isosceles trapezoidal pyramids, and 96 irregular tetrahedra of two kinds. 3 bi-apiculated tetrahedra, 5 isosceles trapezoidal pyramids, and 8 irregular tetrahedra join at each vertex.