Quarter 6-cubic honeycomb

quarter 6-cubic honeycomb
(No image)
Type Uniform 6-honeycomb
Family Quarter hypercubic honeycomb
Schläfli symbol q{4,3,3,3,3,4}
Coxeter-Dynkin diagram =
5-face type h{4,34},
h4{4,34},
{3,3}×{3,3} duoprism
Vertex figure
Coxeter group ×2 = [[31,1,3,3,31,1]]
Dual
Properties vertex-transitive

In six-dimensional Euclidean geometry, the quarter 6-cubic honeycomb is a uniform space-filling tessellation (or honeycomb). It has half the vertices of the 6-demicubic honeycomb, and a quarter of the vertices of a 6-cube honeycomb.[1] Its facets are 6-demicubes, stericated 6-demicubes, and {3,3}×{3,3} duoprisms.

  1. ^ Coxeter, Regular and Semi-Regular Polytopes III, (1988), p318