Demipenteractic honeycomb
- Demipenteractic honeycomb
The demipenteractic honey is a uniform space-filling tessellation (or honeycomb) in Euclidean 5-space. It is constructed as an alternation of the regular penteractic honeycomb.
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 uniform facets. The penteracts become alternated into demipenteracts h{4,3,3,3} and the alternated vertices create pentacross {3,3,3,4} facets.
ee also
*Cubic honeycomb
*Alternated cubic honeycomb
*Demitesseractic honeycomb
*Demipenteractic honeycomb
*Demihexeractic honeycomb
*Demihepteractic honeycomb
*Demiocteractic honeycomb
*Uniform polytope
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}={31,1,4}, h{4,3,3,4}={3,3,4,3}, ...
External links
*GlossaryForHyperspace | anchor=half | title=Half measure polytope
Wikimedia Foundation.
2010.
Look at other dictionaries:
5-demicubic honeycomb — Demipenteractic honeycomb (No image) Type uniform honeycomb Family Alternated hypercubic honeycomb Schläfli symbol h{4,3,3,3,4} Coxeter Dynkin diagram … Wikipedia
Alternated hypercubic honeycomb — An alternated square tiling is another square tiling, but having two types of squares, alternating in a checkerboard pattern … Wikipedia
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… … Wikipedia
7-demicubic honeycomb — (No image) Type Uniform honeycomb Family Alternated hypercube honeycomb Schläfli symbol h{4,3,3,3,3,3,4} Coxeter Dynkin diagram … Wikipedia
6-demicubic honeycomb — (No image) Type Uniform honeycomb Family Alternated hypercube honeycomb Schläfli symbol h{4,3,3,3,3,4} Coxeter Dynkin diagram … Wikipedia
8-demicubic honeycomb — (No image) Type Uniform 8 space honeycomb Family Alternated hypercube honeycomb Schläfli symbol h{4,3,3,3,3,3,3,4} Coxeter Dynkin diagram … Wikipedia
Omnitruncated 5-simplex honeycomb — (No image) Type Uniform honeycomb Family Omnitruncated simplectic honeycomb Schläfli symbol t0,1,2,3,4,5{3[6]} Coxeter–Dynkin diagrams … Wikipedia
Demihexeractic honeycomb — The demihexeractic honey is a uniform space filling tessellation (or honeycomb) in Euclidean 6 space. It is constructed as an alternation of the regular hexeractic honeycomb.It is composed of two different types of facets. The hexeracts become… … Wikipedia
Demiocteractic honeycomb — The demiocteractic honeycomb is a uniform space filling tessellation (or honeycomb) in Euclidean 8 space. It is constructed as an alternation of the regular octeractic honeycomb.It is composed of two different types of facets. The octeracts… … Wikipedia
Demihepteractic honeycomb — 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 heptacomb.It is composed of two different types of facets. The hepteracts… … Wikipedia
