Great truncated cuboctahedron
In geometry, the great truncated cuboctahedron is a nonconvex uniform polyhedron, indexed as U20. It has 26 faces, 72 edges, and 48 vertices. It is represented by the Schläfli symbol tr, and Coxeter-Dynkin diagram,. It is sometimes called the quasitruncated cuboctahedron because it is related to the truncated cuboctahedron,, except that the octagonal faces are replaced by octagrams.
Convex hull
Its convex hull is a nonuniform truncated cuboctahedron. The truncated cuboctahedron and the great truncated cuboctahedron form isomorphic graphs despite their different geometric structure.Convex hull | Great truncated cuboctahedron |