Tetraswirlic hexadecachoron
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| Tetraswirlic hexadecachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 16 chiral truncated triangular prisms |
| Faces | 48 isosceles triangles, 16 triambi, 24 rectangular-symmetric octagons |
| Edges | 48+96 |
| Vertices | 24+48 |
| Vertex figure | 48 phyllic disphenoids, 24 tetragonal disphenoids |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Tetrafold tetraswirlchoron |
| Abstract & topological properties | |
| Flag count | 1728 |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | A3●B2, order 96 |
| Flag orbits | 18 |
| Convex | Yes |
| Nature | Tame |
The tetraswirlic hexadecachoron, also known as the tetswirl 16 or the digonal double chiroantitegmoid, is an isochoric polychoron with 16 chiral truncated triangular prisms as cells. It is the second in an infinite family of isochoric tetrahedral swirlchora.
Each cell of this polychoron has chiral triangular prismatic symmetry, with 3 rectangular-symmetric octagons, 2 triambi, and 6 isosceles triangles for faces.
Gallery[edit | edit source]
-
Wireframe, cell, net
Isogonal derivatives[edit | edit source]
Substitution by vertices of these following elements will produce these convex isogonal polychora:
- Truncated triangular prism (16): Tetrafold tetraswirlchoron
- Triambus (16): Tetrafold tetraswirlchoron
- Rectangular-symmetric octagon (24): Tetrafold ambotetraswirlchoron
- Isosceles triangle (48): Dodecafold tetraswirlchoron
External links[edit | edit source]
- Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".