Disphenoidal-digonal scalenohedral 1-bidodecahedral swirlprism
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Disphenoidal-digonal scalenohedral 1-bidodecahedral swirlprism | |
---|---|
Rank | 4 |
Type | Isogonal |
Elements | |
Cells | 120+120 phyllic disphenoids, 240+240+240+240 irregular tetrahedra, 120 digonal scalenohedra |
Faces | 240+240+240+240+240+240+240+240+240+240+240+240 scalene triangles |
Edges | 120+120+120+240+240+240+240+240+240 |
Vertices | 240 |
Vertex figure | 15-vertex polyhedron with 20 triangles and 3 tetragons |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Paralleloprismatic intersected 1-bidodecahedral swirltegum |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | H3+×4, order 240 |
Convex | Yes |
Nature | Tame |
The disphenoidal-digonal scalenohedral 1-bidodecahedral swirlprism is a convex isogonal polychoron, formed as a convex hull of two hexacosichora in a way that leaves four six corealmic vertices corresponding to a phyllic disphenoid and a digonal scalenohedron. It consists of 120 digonal scalenohedra, 240 phyllic disphenoids of two kindsm and 960 irregular tetrahedra of four kinds. 3 digonal scalenohedra, 4 phyllic disphenoids, and 16 irregular tetrahedra join at each vertex.
It can be constructed as a subsymmetrical faceting of the rectified hecatonicosachoron.