stellated truncated hexahedron

{{Short description|Polyhedron with 14 faces}}

{{Uniform polyhedra db|Uniform polyhedron stat table|stH}}

File:Stellated truncated hexahedron.stl

In geometry, the stellated truncated hexahedron (or quasitruncated hexahedron, and stellatruncated cube{{Cite web|url=http://mathworld.wolfram.com/UniformPolyhedron.html|title=Uniform Polyhedron|last=Weisstein|first=Eric W.|date=|website=MathWorld|archive-url=|archive-date=|access-date=}}) is a uniform star polyhedron, indexed as U₁₉. It has 14 faces (8 triangles and 6 octagrams), 36 edges, and 24 vertices.{{Cite web|url=https://www.mathconsult.ch/static/unipoly/19.html|title=19: stellated truncated hexahedron|last=Maeder|first=Roman|date=|website=MathConsult|archive-url=|archive-date=|access-date=}} It is represented by Schläfli symbol t'{4,3} or t{4/3,3}, and Coxeter-Dynkin diagram, {{CDD|node_1|4|rat|d3|node_1|3|node}}. It is sometimes called quasitruncated hexahedron because it is related to the truncated cube, {{CDD|node_1|4|node_1|3|node}}, 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.