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)"