Cantitruncated cubic honeycomb

Cantitruncated cubic honeycomb

The cantitruncated cubic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 3-space, made up of truncated cuboctahedra, truncated octahedra, and cubes in a ratio of 1:1:3.

Uniform colorings

Cells can be shown in two different symmetries. The linear Coxeter-Dynkin diagram form can be drawn with one color for each cell type. The bifurcating diagram form can be drawn with two types (colors) of truncated cuboctahedron cells alternating.

Edge framework

Alternation

References

* Chapter 5 (Polyhedral packing and spacing filling): Fig. 5-13, p.176 shows this honeycomb. Fig. 5-34 p.197 shows a partial honeycomb of the alternation with only snub cube cells show.


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