Editing Truncated cuboctahedron (section)

== Related polyhedra ==
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|colspan=2|Bowtie tetrahedron and cube contain two trapezoidal faces in place of each square.<ref>[http://www.cgl.uwaterloo.ca/csk/papers/bridges2001.html Symmetrohedra: Polyhedra from Symmetric Placement of Regular Polygons] Craig S. Kaplan</ref>
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The truncated cuboctahedron is one of a family of uniform polyhedra related to the cube and regular octahedron.

{{Octahedral truncations}}

This polyhedron can be considered a member of a sequence of uniform patterns with [[vertex configuration]] (4.6.2''p'') and [[Coxeter-Dynkin diagram]] {{CDD|node_1|p|node_1|3|node_1}}.  For ''p''&nbsp;<&nbsp;6, the members of the sequence are [[Omnitruncation (geometry)|omnitruncated]] polyhedra ([[zonohedron]]s), shown below as spherical tilings. For ''p''&nbsp;<&nbsp;6, they are tilings of the hyperbolic plane, starting with the [[truncated triheptagonal tiling]].
{{Omnitruncated table}}
{{Omnitruncated4 table}}
{{Omnitruncated34 table}}

It is first in a series of cantitruncated hypercubes:
{{Cantitruncated hypercube polytopes}}