Enneagonal duotegum
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Enneagonal duotegum | |
---|---|
Rank | 4 |
Type | Noble |
Notation | |
Bowers style acronym | Edit |
Coxeter diagram | m9o2m9o |
Elements | |
Cells | 81 tetragonal disphenoids |
Faces | 162 isosceles triangles |
Edges | 18+81 |
Vertices | 18 |
Vertex figure | Enneagonal tegum |
Measures (based on enneagons of edge length 1) | |
Edge lengths | Base (18): 1 |
Lacing (81): | |
Circumradius | |
Inradius | |
Central density | 1 |
Related polytopes | |
Army | Edit |
Regiment | Edit |
Dual | Enneagonal duoprism |
Conjugates | Enneagrammic duotegum, great enneagrammic duotegum |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | I2(9)≀S2, order 648 |
Convex | Yes |
Nature | Tame |
The enneagonal duotegum, also known as the enneagonal-enneagonal duotegum, the 9 duotegum, or the 9-9 duotegum, is a noble duotegum that consists of 81 tetragonal disphenoids and 18 vertices, with 18 cells joining at each vertex. It is also the 18-8 step prism. It is the first in an infinite family of isogonal enneagonal hosohedral swirlchora and also the first in an infinite family of isochoric enneagonal dihedral swirlchora.
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