Stericantic tesseractic honeycomb

Stericantic tesseractic honeycomb
(No image)
TypeUniform honeycomb
Schläfli symbolh2,4{4,3,3,4}
Coxeter-Dynkin diagram =
4-face typerr{4,3,3}
t0,1,3{3,3,4}
t{3,3,4}
{3,3}×{}
Cell typerr{4,3}
{3,4}
{4,3}
t{3,3}
t{3}×{}
{3}×{}
Face type{6}
{4}
{3}
Vertex figure
Coxeter group{\tilde{B}}_4 = [4,3,31,1]
Dual?
Propertiesvertex-transitive

In four-dimensional Euclidean geometry, the stericantic tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.

Alternate names

Related honeycombs

The [4,3,31,1], , Coxeter group generates 31 permutations of uniform tessellations, 23 with distinct symmetry and 4 with distinct geometry. There are two alternated forms: the alternations (19) and (24) have the same geometry as the 16-cell honeycomb and snub 24-cell honeycomb respectively.

See also

Regular and uniform honeycombs in 4-space:

Notes

    References

    This article is issued from Wikipedia - version of the Wednesday, January 27, 2016. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.