Quarter 5-cubic honeycomb

quarter 5-cubic honeycomb
(No image)
Type Uniform 5-honeycomb
Family Quarter hypercubic honeycomb
Schläfli symbol q{4,3,3,3,4}
Coxeter-Dynkin diagram =
5-face type h{4,33},
h4{4,33},
Vertex figure
Rectified 5-cell antiprism
or Stretched birectified 5-simplex
Coxeter group ×2 = [[31,1,3,31,1]]
Dual
Properties vertex-transitive

In five-dimensional Euclidean geometry, the quarter 5-cubic honeycomb is a uniform space-filling tessellation (or honeycomb). It has half the vertices of the 5-demicubic honeycomb, and a quarter of the vertices of a 5-cube honeycomb.[1] Its facets are 5-demicubes and runcinated 5-demicubes.

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