Steriruncitruncated tesseractic honeycomb

Steriruncitruncated tesseractic honeycomb
(No image)
TypeUniform honeycomb
Schläfli symbolt0,1,3,4{4,3,3,4}
Coxeter-Dynkin diagrams
4-face typeRuncitruncated tesseract
truncated cubic prism
8-8 duoprism
Cell typeCuboctahedron
Truncated cube
Triangular prism
Octagonal prism
Face type{3}, {4}, {8}
Vertex figureAntialigned rectangular double pyramid
Coxeter groups×2, 4,3,3,4
PropertiesVertex transitive

In four-dimensional Euclidean geometry, the steriruncitruncated tesseractic honeycomb is a uniform space-filling honeycomb.

Alternate names

Related honeycombs

The [4,3,3,4], , Coxeter group generates 31 permutations of uniform tessellations, 21 with distinct symmetry and 20 with distinct geometry. The expanded tesseractic honeycomb (also known as the stericated tesseractic honeycomb) is geometrically identical to the tesseractic honeycomb. Three of the symmetric honeycombs are shared in the [3,4,3,3] family. Two alternations (13) and (17), and the quarter tesseractic (2) are repeated in other families.

See also

Regular and uniform honeycombs in 4-space:

References

Fundamental convex regular and uniform honeycombs in dimensions 3–10 (or 2-9)
Family / /
Uniform tiling {3[3]} δ3 hδ3 qδ3 Hexagonal
Uniform convex honeycomb {3[4]} δ4 hδ4 qδ4
Uniform 5-honeycomb {3[5]} δ5 hδ5 qδ5 24-cell honeycomb
Uniform 6-honeycomb {3[6]} δ6 hδ6 qδ6
Uniform 7-honeycomb {3[7]} δ7 hδ7 qδ7 222
Uniform 8-honeycomb {3[8]} δ8 hδ8 qδ8 133331
Uniform 9-honeycomb {3[9]} δ9 hδ9 qδ9 152251521
Uniform 10-honeycomb {3[10]} δ10 hδ10 qδ10
Uniform n-honeycomb {3[n]} δn hδn qδn 1k22k1k21
This article is issued from Wikipedia - version of the 9/21/2015. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.