Tesseractic honeycomb

Tesseractic honeycomb

The tesseractic honeycomb is the one of three regular space-filling tessellation (or honeycomb) in Euclidean 4-space. Four tesseracts meet at each face, and it is more explicitly called an "order-4 tesseractic honey".

It is an analog of the square tiling of the plane and the cubic honeycomb of 3-space.

ee also

* Hypercubic honeycomb - The family of {4,3,...,3,4} tessellations.
*List of regular polytopes:
** A list of the three regular tessellations of Euclidean 4-space
** Penteract {4,3,3,3} - The regular 5-hypercube, which exists in 5-space with "3" tesseracts on each face. This could equivalently be considered an "order-3 tesseractic tetracomb", on the 4-sphere.
** Order-5 tesseractic tetracomb {4,3,3,5} - This higher tessellation can be constructed on a hyperbolic 4-space.

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)"


Wikimedia Foundation. 2010.

Игры ⚽ Нужна курсовая?

Look at other dictionaries:

  • 16-cell honeycomb — Perspective projection: the first layer of adjacent 16 cell facets. Type Regular 4 space honeycomb Family Alternated hypercube honeycomb Schläfli symbol {3,3,4,3} h{4,3,3,4} …   Wikipedia

  • 8-cubic honeycomb — (no image) Type Regular 8 dimensional honeycomb Family Hypercube honeycomb Schläfli symbol {4,36,4} {4,35,31,1} t0,8{4,36,4} {∞}8 Coxeter Dynkin diagrams …   Wikipedia

  • Penteractic honeycomb — The penteractic honeycomb is the only regular space filling tessellation (or honeycomb) in Euclidean 5 space. Four penteracts meet at each cubic cell, and it is more explicitly called an order 4 penteractic honeycomb .It is an analog of the… …   Wikipedia

  • Hypercubic honeycomb — A regular square tiling …   Wikipedia

  • Alternated hypercubic honeycomb — An alternated square tiling is another square tiling, but having two types of squares, alternating in a checkerboard pattern …   Wikipedia

  • Omnitruncated 5-cell honeycomb — Omnitruncated 4 simplex honeycomb (No image) Type Uniform honeycomb Family Omnitruncated simplectic honeycomb Schläfli symbol t0,1,2,3,4{3[5]} Coxeter–Dynkin diagrams …   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

  • Octeractic honeycomb — The octeractic honeycomb is the only regular space filling tessellation (or honeycomb) in Euclidean 8 space.It is an analog of the square tiling of the plane, the cubic honeycomb of 3 space.There are many different Wythoff constructions of this… …   Wikipedia

  • Hepteractic honeycomb — The hepteractic honeycomb is the only regular space filling tessellation (or honeycomb) in Euclidean 7 space.It is an analog of the square tiling of the plane, the cubic honeycomb of 3 space.ee also *Tesseractic honeycomb *Penteractic honeycomb… …   Wikipedia

  • 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,… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”