OCTAHEDRAL - definition. What is OCTAHEDRAL
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%ما هو (من)٪ 1 - تعريف

POLYHEDRON WITH 8 FACES
Square bipyramids; Octahedral; Octahedra; Regular octahedron; Tetratetrahedron; Triangular antiprism; Square dipyramid; Rectified tetrahedron; Octohedral; Oct (geometry); Rectified 3-simplex; 3-orthoplex; Trigonal antiprism; Birectified Cube; Birectified cube; 3-cross; 3-cross-polytope; 0 11 polytope; Octohedra; 8-hedron; Square bipyramid; Octohedron; Spherical octahedron; Order-4 triangular tiling
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  • The octahedron represents the central intersection of two tetrahedra
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  • 3D model of regular octahedron.
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Octahedral         
·adj Having eight faces or sides; of, pertaining to, or formed in, octahedrons; as, octahedral cleavage.
Octahedral symmetry         
  • 48 symmetry elements of a cube
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  • Subgroups ordered in a Hasse diagram
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  • Hexahedron (cube)
  • Octahedron
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3D SYMMETRY GROUP
Octahedral group; Cubic symmetry; Cubical symmetry; Cube group; Full octahedral symmetry; 432 symmetry; Full octahedral group; Cuboctahedral Symmetry; Cubic Symmetry; Chiral octahedral symmetry
A regular octahedron has 24 rotational (or orientation-preserving) symmetries, and 48 symmetries altogether. These include transformations that combine a reflection and a rotation.
Order-5 octahedral honeycomb         
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TESSELATION IN REGULAR SPACE
Order-6 octahedral honeycomb; Infinite-order octahedral honeycomb; Order-7 octahedral honeycomb; Order-8 octahedral honeycomb
In the geometry of hyperbolic 3-space, the order-5 octahedral honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,4,5}. It has five octahedra {3,4} around each edge.

ويكيبيديا

Octahedron

In geometry, an octahedron (plural: octahedra, octahedrons) is a polyhedron with eight faces. The term is most commonly used to refer to the regular octahedron, a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex.

A regular octahedron is the dual polyhedron of a cube. It is a rectified tetrahedron. It is a square bipyramid in any of three orthogonal orientations. It is also a triangular antiprism in any of four orientations.

An octahedron is the three-dimensional case of the more general concept of a cross polytope.

A regular octahedron is a 3-ball in the Manhattan (1) metric.