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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 {5/2,5,3}
Cells {5/2,5}
Faces {5/2}
Face figure {3}
Edge figure {3,3}
Vertex figure {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. 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

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References

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  • 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, p212-213)