Stellated truncated hexahedron

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Stellated truncated hexahedron
Stellated truncated hexahedron.png
Type Uniform star polyhedron
Elements F = 14, E = 36
V = 24 (χ = 2)
Faces by sides 8{3}+6{8/3}
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 Stellated truncated hexahedron vertfig.png
Bowers acronym Quith

In geometry, the stellated truncated hexahedron (or quasitruncated hexahedron) is a uniform star polyhedron, indexed as U19. It is represented by Schläfli symbol t{4/3,3}, and Coxeter-Dynkin diagram, CDel node 1.pngCDel 4.pngCDel rat.pngCDel d3.pngCDel node 1.pngCDel 3.pngCDel node.png. It is sometimes called quasitruncated hexahedron because it is related to the truncated cube, CDel node 1.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.png, except that the square faces become inverted into {8/3} octagrams.

The stellated truncated hexahedron is not a true stellation of the truncated hexahedron; its convex 'core' is not a uniform polyhedron.

Orthographic projections[edit]

Stellated truncated hexahedron ortho wireframes.png

Related polyhedra[edit]

It shares the vertex arrangement with three other uniform polyhedra: the convex rhombicuboctahedron, the small rhombihexahedron, and the small cubicuboctahedron.

Small rhombicuboctahedron.png
Small cubicuboctahedron.png
Small cubicuboctahedron
Small rhombihexahedron.png
Small rhombihexahedron
Stellated truncated hexahedron.png
Stellated truncated hexahedron

See also[edit]

External links[edit]

  • Weisstein, Eric W. "Stellated truncated hexahedron". MathWorld.