Stellated truncated hexahedron | |
---|---|
![]() | |
Type | Uniform star polyhedron |
Elements | F = 14, E = 36 V = 24 (χ = 2) |
Faces by sides | 8{3}+6{8/3} |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Wythoff symbol | 2 3 | 4/3 2 3/2 | 4/3 |
Symmetry group | Oh, [4,3], *432 |
Index references | U19, C66, W92 |
Dual polyhedron | Great triakis octahedron |
Vertex figure |
![]() 3.8/3.8/3 |
Bowers acronym | Quith |
In
geometry, the stellated truncated hexahedron (or quasitruncated hexahedron, and stellatruncated cube
[1]) is a
uniform star polyhedron, indexed as U19. It has 14 faces (8
triangles and 6
octagrams), 36 edges, and 24 vertices.
[2] It is represented by
Schläfli symbol t'{4,3} or t{4/3,3}, and
Coxeter-Dynkin diagram, . It is sometimes called quasitruncated hexahedron because it is related to the
truncated cube,
, except that the square faces become inverted into {8/3} octagrams.
Even though the stellated truncated hexahedron is a stellation of the truncated hexahedron, its core is a regular octahedron.
It shares the vertex arrangement with three other uniform polyhedra: the convex rhombicuboctahedron, the small rhombihexahedron, and the small cubicuboctahedron.
![]() Rhombicuboctahedron |
![]() Small cubicuboctahedron |
![]() Small rhombihexahedron |
![]() Stellated truncated hexahedron |
Stellated truncated hexahedron | |
---|---|
![]() | |
Type | Uniform star polyhedron |
Elements | F = 14, E = 36 V = 24 (χ = 2) |
Faces by sides | 8{3}+6{8/3} |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Wythoff symbol | 2 3 | 4/3 2 3/2 | 4/3 |
Symmetry group | Oh, [4,3], *432 |
Index references | U19, C66, W92 |
Dual polyhedron | Great triakis octahedron |
Vertex figure |
![]() 3.8/3.8/3 |
Bowers acronym | Quith |
In
geometry, the stellated truncated hexahedron (or quasitruncated hexahedron, and stellatruncated cube
[1]) is a
uniform star polyhedron, indexed as U19. It has 14 faces (8
triangles and 6
octagrams), 36 edges, and 24 vertices.
[2] It is represented by
Schläfli symbol t'{4,3} or t{4/3,3}, and
Coxeter-Dynkin diagram, . It is sometimes called quasitruncated hexahedron because it is related to the
truncated cube,
, except that the square faces become inverted into {8/3} octagrams.
Even though the stellated truncated hexahedron is a stellation of the truncated hexahedron, its core is a regular octahedron.
It shares the vertex arrangement with three other uniform polyhedra: the convex rhombicuboctahedron, the small rhombihexahedron, and the small cubicuboctahedron.
![]() Rhombicuboctahedron |
![]() Small cubicuboctahedron |
![]() Small rhombihexahedron |
![]() Stellated truncated hexahedron |