Cubitruncated cuboctahedron
In geometry, the cubitruncated cuboctahedron or cuboctatruncated cuboctahedron is a nonconvex uniform polyhedron, indexed as U16. It has 20 faces, 72 edges, and 48 vertices, and has a shäfli symbol of tr
Convex hull
Its convex hull is a nonuniform truncated cuboctahedron.Convex hull | Cubitruncated cuboctahedron |
Cartesian coordinates
Cartesian coordinates for the vertices of a cubitruncated cuboctahedron are all the permutations ofRelated polyhedra
Tetradyakis hexahedron
The tetradyakis hexahedron is a nonconvex isohedral polyhedron. It has 48 intersecting scalene triangle faces, 72 edges, and 20 vertices.Proportions
The triangles have one angle of, one of and one of. The dihedral angle equals. Part of each triangle lies within the solid, hence is invisible in solid models.It is the dual of the uniform cubitruncated cuboctahedron.