Small stellated 120-cell honeycomb
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| Small stellated 120-cell honeycomb | |
|---|---|
| (No image) | |
| Type | Hyperbolic regular honeycomb |
| Schläfli symbol | {5/2,5,3,3} |
| Coxeter diagram |      
|
| 4-faces | 50px {5/2,5,3} |
| Cells | 30px {5/2,5} |
| Faces |  {5/2}
|
| Face figure | 30px {3} |
| Edge figure | 30px {3,3} |
| Vertex figure | 50px {5,3,3} |
| Dual | Pentagrammic-order 600-cell honeycomb |
| Coxeter group | H4, [5,3,3,3] |
| Properties | Regular |
In the geometry of hyperbolic 4-space, the small stellated 120-cell honeycomb is one of four regular star-honeycombs. With Schläfli symbol {5/2,5,3,3}, it has three small stellated 120-cells around each face. Acronym: sishitte[1]
It is dual to the pentagrammic-order 600-cell honeycomb.
It can be seen as a stellation of the 120-cell honeycomb, and is thus analogous to the three-dimensional small stellated dodecahedron {5/2,5} and four-dimensional small stellated 120-cell {5/2,5,3}. It has density 5.
See also
Notes
References
- Coxeter, Regular Polytopes, 3rd ed., Dover Publications, 1973. ISBN 0-486-61480-8. (Tables I and II: Regular polytopes and honeycombs, pp. 294–296)
- Coxeter, The Beauty of Geometry: Twelve Essays, Dover Publications, 1999, ISBN 0-486-40919-8, (Chapter 10: Regular honeycombs in hyperbolic space, Summary tables II, III, IV, V, pp. 212–213)
- Klitzing, Richard. "4D Tetracombs". https://bendwavy.org/klitzing/dimensions/hyperbolic.htm#4D-compact. o3o3o5o5/2x - sishitte
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