Demipenteractic pentacomb

From Wikipedia, the free encyclopedia

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

The demipenteractic pentacomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 5-space. It is constructed as an alternation of the regular penteractic pentacomb.

It is the first tessellation in the demihypercube honeycomb family which, with all the next ones, is not regular, being composed of two different types of facets. The penteracts become alternated into demipenteracts h{4,3,3,3} and the alternated vertices create pentacross {3,3,3,4} facets. Also the Alternated cubic honeycomb is not regular.

[edit] See also

• Cubic honeycomb
• Alternated cubic honeycomb
• Demitesseractic tetracomb
• 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.