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hexahedron

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hexahedron

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A hexahedron (: hexahedra or hexahedrons) or sexahedron (: sexahedra or sexahedrons) is any polyhedron with six faces. A cube, for example, is a regular hexahedron with all its faces square, and three squares around each vertex.

Wikidata facts

Followed by
heptahedron
Has parts of class
face
Show 4 more facts
Commons category
Hexahedra
has facet polytope
polygon
studied by
solid geometry
maintained by WikiProject
WikiProject Mathematics
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Encyclopedic overview

5 sections
Contents
  • Convex
  • Cuboid
  • Others
  • Concave
  • References

A hexahedron (: hexahedra or hexahedrons) or sexahedron (: sexahedra or sexahedrons) is any polyhedron with six faces. A cube, for example, is a regular hexahedron with all its faces square, and three squares around each vertex.

There are seven topologically distinct convex hexahedra, one of which exists in two mirror image forms. Additional non-convex hexahedra exist, with their number depending on how polyhedra are defined. Two polyhedra are "topologically distinct" if they have intrinsically different arrangements of faces and vertices, such that it is impossible to distort one into the other simply by changing the lengths of edges or the angles between edges or faces.

Excerpted from Wikipedia’s “hexahedron” article, available under the CC BY-SA 4.0 licence.

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