Hexagonal trioprism
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Hexagonal trioprism | |
---|---|
Rank | 6 |
Type | Uniform |
Notation | |
Bowers style acronym | Hittip |
Coxeter diagram | x6o x6o x6o |
Elements | |
Peta | 18 hexagonal duoprismatic prisms |
Tera | 108 square-hexagonal duoprisms, 18 hexagonal duoprisms |
Cells | 216 cubes, 216 hexagonal prisms |
Faces | 648 squares, 108 hexagons |
Edges | 648 |
Vertices | 216 |
Vertex figure | Digonal trisphenoid |
Measures (edge length 1) | |
Circumradius | |
Inradius | |
Hypervolume | |
Dipetal angles | Hahip–hiddip–hahip: 120° |
Hahip–shiddip–hahip: 90° | |
Central density | 1 |
Number of external pieces | 18 |
Level of complexity | 15 |
Related polytopes | |
Army | Hittip |
Regiment | Hittip |
Dual | Hexagonal triotegum |
Conjugate | Hexagonal trioprism |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | G2≀S3, order 10368 |
Convex | Yes |
Nature | Tame |
The hexagonal trioprism or hittip is a convex uniform trioprism that consists of 18 hexagonal duoprismatic prisms as facets. 6 facets join at each vertex. It is also the 18-5-7 gyropeton.
This polypeton can be alternated into a triangular trioantiprism, although it cannot be made uniform.
The hexagonal trioprism can be vertex-inscribed into the rectified pentacontatetrapeton.
Vertex coordinates[edit | edit source]
The vertices of a hexagonal trioprism of edge length 1 are given by:
External links[edit | edit source]
- Klitzing, Richard. "hittip".