Tetraswirlic pentacontahexachoron
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Tetraswirlic pentacontahexachoron | |
---|---|
Rank | 4 |
Type | Isotopic |
Elements | |
Cells | 56 24-vertex tetradecahedra |
Faces | 168 kites, 168 mirror-symmetric pentagons, 56 triangular-symmetric enneagons |
Edges | 168+168+336 |
Vertices | 168+168 |
Vertex figure | 168+168 phyllic disphenoids |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Tetradecafold tetraswirlchoron |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | A3●I2(14), order 336 |
Convex | Yes |
Nature | Tame |
The tetraswirlic pentacontahexachoron, also known as the tetswirl 56, is an isochoric polychoron with 56 identical cells. It is the seventh in an infinite family of isochoric tetrahedral swirlchora.
Each cell of this polychoron has chiral triangular prismatic symmetry, with 2 triangular-symmetric enneagons, 6 mirror-symmetric pentagons, and 6 kites for faces.