Rectified cubic honeycomb

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Rectified cubic honeycomb
Type Uniform honeycomb
Schläfli symbol t1{4,3,4}
Coxeter-Dynkin diagrams Image:CDW_dot.pngImage:CDW_4.pngImage:CDW_ring.pngImage:CDW_3.pngImage:CDW_dot.pngImage:CDW_4.pngImage:CDW_dot.png
Coxeter group [4,3,4]
Dual -
Properties vertex-transitive
Edge framework
Edge framework

The rectified cubic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 3-space. It is comprised of octahedra and cuboctahedra in a ratio of 1:1.

[edit] Symmetry

There are three lower uniform colorings for the cells of this honeycomb with reflective symmetry, listed by their Coxeter group, and Wythoff construction name, and the Coxeter-Dynkin diagram below.

[4,31,1], S4 [4,31,1], S4 P4
Rectified alternate cubic Cantellated alternate cubic Birectified quarter cubic

Image:CD_dot.pngImage:CD_3b.pngImage:CD_downbranch-10.pngImage:CD_3b.pngImage:CD_4.pngImage:CD_dot.png

Image:CD_ring.pngImage:CD_3b.pngImage:CD_downbranch-01.pngImage:CD_3b.pngImage:CD_4.pngImage:CD_dot.png

Image:CD_p4-1010.png
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