![cover image](https://wikiwandv2-19431.kxcdn.com/_next/image?url=https://upload.wikimedia.org/wikipedia/commons/thumb/a/ab/Great_truncated_cuboctahedron.png/640px-Great_truncated_cuboctahedron.png&w=640&q=50)
Great truncated cuboctahedron
Polyhedron with 26 faces / From Wikipedia, the free encyclopedia
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.
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 |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/e/e3/Great_truncated_cuboctahedron.stl/640px-Great_truncated_cuboctahedron.stl.png)