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In geometry, the cubitruncated cuboctahedron or cuboctatruncated cuboctahedron is a nonconvex uniform polyhedron, indexed as U16.
Contents
Convex hull
Its convex hull is a nonuniform truncated cuboctahedron.
Cartesian coordinates
Cartesian coordinates for the vertices of a cubitruncated cuboctahedron are all the permutations of
(±(√2−1), ±1, ±(√2+1))Tetradyakis hexahedron
The tetradyakis hexahedron is a nonconvex isohedral polyhedron. It has 48 intersecting scalene triangle faces, 72 edges, and 20 vertices.
It is the dual of the uniform cubitruncated cuboctahedron.
References
Cubitruncated cuboctahedron Wikipedia(Text) CC BY-SA