Enneagonal trioprism
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Enneagonal trioprism | |
---|---|
Rank | 6 |
Type | Uniform |
Notation | |
Bowers style acronym | Ettip |
Coxeter diagram | x9o x9o x9o |
Elements | |
Peta | 27 enneagonal duoprismatic prisms |
Tera | 243 square-enneagonal duoprisms, 27 enneagonal duoprisms |
Cells | 729 cubes, 486 enneagonal prisms |
Faces | 2187 squares, 243 enneagons |
Edges | 2187 |
Vertices | 729 |
Vertex figure | Digonal trisphenoid |
Measures (edge length 1) | |
Circumradius | |
Inradius | |
Hypervolume | |
Dipetal angles | Eep–edip–eep: 140° |
Eep–sendip–eep: 90° | |
Central density | 1 |
Number of external pieces | 27 |
Level of complexity | 15 |
Related polytopes | |
Army | Ettip |
Regiment | Ettip |
Dual | Enneagonal triotegum |
Conjugates | Enneagrammic trioprism, great enneagrammic trioprism |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | I2(9)≀S3, order 34992 |
Convex | Yes |
Nature | Tame |
The enneagonal trioprism or ettip is a convex uniform trioprism that consists of 27 enneagonal duoprismatic prisms as facets. 6 facets join at each vertex. It is also the 27-8-10 gyropeton.