120-cell honeycomb

120-cell honeycomb
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TypeHyperbolic regular honeycomb
Schläfli symbol{5,3,3,3}
Coxeter diagram
4-faces {5,3,3}
Cells {5,3}
Faces {5}
Face figure {3}
Edge figure {3,3}
Vertex figure {3,3,3}
DualOrder-5 5-cell honeycomb
Coxeter groupH4, [5,3,3,3]
PropertiesRegular

In the geometry of hyperbolic 4-space, the 120-cell honeycomb is one of five compact regular space-filling tessellations (or honeycombs). With Schläfli symbol {5,3,3,3}, it has three 120-cells around each face. Its dual is the order-5 5-cell honeycomb, {3,3,3,5}.

It is related to the order-4 120-cell honeycomb, {5,3,3,4}, and order-5 120-cell honeycomb, {5,3,3,5}.

It is topologically similar to the finite 5-cube, {4,3,3,3}, and 5-simplex, {3,3,3,3}.

It is analogous to the 120-cell, {5,3,3}, and dodecahedron, {5,3}.

See also

References

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