Cubiswirlic hecatontetracontatetrachoron
Jump to navigation
Jump to search
Cubiswirlic hecatontetracontatetrachoron | |
---|---|
Rank | 4 |
Type | Isotopic |
Elements | |
Cells | 144 rhombistellated tetrambic gyroprisms |
Faces | 576 isosceles triangles, 288 rhombi, 144 tetrambi |
Edges | 192+1152 |
Vertices | 192+288 |
Vertex figure | 288 rhombic disphenoids, 192 triangular gyrotegums |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Icositetrafold octaswirlchoron |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | B3●I2(24), order 1152 |
Convex | Yes |
Nature | Tame |
The cubiswirlic hecatontetracontatetrachoron, also known as the cubeswirl 144, is an isochoric polychoron with 144 rhombistellated tetrambic gyroprisms as cells. It is the sixth in an infinite family of isochoric cubic swirlchora.
Each cell of this polychoron has chiral square prismatic symmetry, with 2 tetrambi, 4 rhombi, and 8 isosceles triangles for faces.
Isogonal derivatives[edit | edit source]
Substitution by vertices of these following elements will produce these convex isogonal polychora:
- Rhombistellated tetrambic gyroprism (144): Icositetrafold octaswirlchoron
- Tetrambus (144): Icositetrafold octaswirlchoron
- Edge (192): Icositetrafold cubiswirlchoron
- Vertex (192): Icositetrafold cubiswirlchoron