Enneagonal triotegum
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Enneagonal triotegum | |
---|---|
File:Enneagonal triotegum.png | |
Rank | 6 |
Type | Noble |
Notation | |
Bowers style acronym | Ettit |
Coxeter diagram | m9o2m9o2m9o |
Elements | |
Peta | 729 digonal trisphenoids |
Tera | 2187 tetragonal disphenoidal pyramids |
Cells | 2187 digonal disphenoids, 243 tetragonal disphenoids |
Faces | 486 isosceles triangles, 729 triangles |
Edges | 27+243 |
Vertices | 27 |
Vertex figure | Enneagonal duotegmatic tegum |
Measures (based on enneagons of edge length 1) | |
Edge lengths | Base (27): 1 |
Lacing (243): | |
Circumradius | |
Inradius | |
Central density | 1 |
Related polytopes | |
Army | Ettit |
Regiment | Ettit |
Dual | Enneagonal trioprism |
Conjugates | Enneagrammic triotegum, great enneagrammic triotegum |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | I2(9)≀S3, order 34992 |
Convex | Yes |
Nature | Tame |
The enneagonal triotegum or ettit is a noble triotegum that consists of 729 digonal trisphenoids and 27 vertices. 162 facets join at each vertex. It is also the 27-8-10 step prism.