# Demitesseractic honeycomb

Demitesseractic honeycomb

The demitesseractic honeycomb or hexadecachoric 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 icositetrachoric honeycomb. It is constructed from 16-cell polychoron facets, three around every edge. It has a 24-cell vertex figure.

As a regular honeycomb, {3,3,4,3}, it has no lower dimensional analogues, but as an alternated form, the (demitesseractic honeycomb), h{4,3,3,4}, it is related to the alternated cubic honeycomb.

It is also called a F4 lattice.

ee also

*Cubic honeycomb
*Demitesseractic honeycomb
*Demipenteractic honeycomb
*Demihexeractic honeycomb
*Demihepteractic honeycomb
*Demiocteractic honeycomb
*List of regular polytopes

References

* Coxeter, H.S.M. "Regular Polytopes", (3rd edition, 1973), Dover edition, ISBN 0-486-61480-8
** pp. 154&ndash;156: Partial truncation or alternation, represented by "h" prefix: h{4,4} = {4,4}; h{4,3,4} = {31,1,4}, h{4,3,3,4} = {3,3,4,3}, ...

* 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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