Английская Википедия:Compound of six tetrahedra

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Шаблон:Short description

Compound of six tetrahedra
Файл:UC03-6 tetrahedra.png
Type Uniform compound
Convex hull Nonuniform truncated octahedron
Index UC3
Polyhedra 6 tetrahedra
Faces 24 triangles
Edges 36
Vertices 24
Symmetry group octahedral (Oh)
Subgroup restricting to one constituent 2-fold antiprismatic (D2d)
Файл:Compound of six tetrahedra.stl
3D model of a compound of six tetrahedra

The compound of six tetrahedra is a uniform polyhedron compound. It's composed of a symmetric arrangement of 6 tetrahedra. It can be constructed by inscribing a stella octangula within each cube in the compound of three cubes, or by stellating each octahedron in the compound of three octahedra.

It is one of only five polyhedral compounds (along with the compound of two great dodecahedra, the compound of five great dodecahedra, the compound of two small stellated dodecahedra, and the compound of five small stellated dodecahedra) which is vertex-transitive and face-transitive but not edge-transitive.

References


Шаблон:Polyhedron-stub