Great truncated cuboctahedron

Great truncated cuboctahedron
Type	Uniform star polyhedron
Elements	F = 26, E = 72 V = 48 (χ = 2)
Faces by sides	12{4}+8{6}+6{8/3}
Coxeter diagram
Wythoff symbol	2 3 4/3 |
Symmetry group	Oh, [4,3], *432
Index references	U20, C67, W93
Dual polyhedron	Great disdyakis dodecahedron
Vertex figure	4.6/5.8/3
Bowers acronym	Quitco

In geometry, the great truncated cuboctahedron (or quasitruncated cuboctahedron or stellatruncated cuboctahedron) is a nonconvex uniform polyhedron, indexed as U₂₀. It has 26 faces (12 squares, 8 hexagons and 6 octagrams), 72 edges, and 48 vertices.^[1] It is represented by the Schläfli symbol tr{⁴/₃,3}, 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 {⁸/₃} octagrams.