Demihepteractic heptacomb

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Demihepteractic heptacomb
(No image)
Type	Uniform heptacomb
Family	Alternated hypercube honeycomb
Schläfli symbol	h{4,3,3,3,3,3,4}
Coxeter-Dynkin diagram
Facets	{3,3,3,3,3,4} h{4,3,3,3,3,3}

The demihepteractic heptacomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 7-space. It is constructed as an alternation of the regular hepteractic hexacomb.

It is composed of two different types of facets. The hepteracts become alternated into demihepteracts h{4,3,3,3,3,3} and the alternated vertices create heptacross {3,3,3,3,3,4} facets.

[edit] See also

• Cubic honeycomb
• Alternated cubic honeycomb
• Demitesseractic tetracomb
• Demipenteractic pentacomb
• Demihexeractic hexacomb
• Uniform polytope

[edit] References

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

[edit] External links

• Olshevsky, George, Half measure polytope at Glossary for Hyperspace.