Icositetrachoric honeycomb
- Icositetrachoric honeycomb
In geometry, the icositetrachoric honeycomb is the one of three regular space-filling tessellation (or honeycomb) in Euclidean 4-space. The other two are the tesseractic honeycomb and the hexadecachoric honeycomb.
Constructed from 24-cell facets, three per edge, it has no lower dimensional analogues.
There are five different symmetry constructions of this tessellation. Each symmetry can be represented by different arrangements of colored 24-cell facets. In all cases, 8 24-cells meet at each vertex, but the vertex figures have different symmetry generators.
ee also
*List of regular polytopes
References
* Coxeter, H.S.M. "Regular Polytopes", (3rd edition, 1973), Dover edition, ISBN 0-486-61480-8 p.296, Table II: Regular honeycombs
* George Olshevsky, "Uniform Panoploid Tetracombs", Manuscript (2006) "(Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs)"
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