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#octahedral_symmetry

Octahedral symmetry

3D symmetry group

A regular octahedron has 24 rotational symmetries, and 48 symmetries altogether. These include transformations that combine a reflection and a rotation. A cube has the same set of symmetries, since it is the polyhedron that is dual to an octahedron.

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Octahedral symmetry Uniform polyhedron Dodecahedron Octahedron Uniform star polyhedron List of spherical symmetry groups Truncated octahedron Goldberg polyhedron Hyperoctahedral group Cube
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