Uniform Compound of Eight Octahedra
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This is a uniform compound of eight octahedra. An octahedron consists of eight regular triangles.
This is a uniform compound since each (real) vertex can be projected on any other vertex by a symmetry operation. Since it is a symmetry operation, that projection maps all other vertices on another vertex. The whole compound has the same symmetry as a cube.
The model uses two colours and one colour can be mapped on the other by a symmetry operation as well. One color forms a compound of four octahedra with A4xI symmetry, which consists of all rotations of a tetrahedron and all those operations multiplied by the central inversion. That sub-compound is uniform as well, of course.
This is a uniform compound since each (real) vertex can be projected on any other vertex by a symmetry operation. Since it is a symmetry operation, that projection maps all other vertices on another vertex. The whole compound has the same symmetry as a cube.
The model uses two colours and one colour can be mapped on the other by a symmetry operation as well. One color forms a compound of four octahedra with A4xI symmetry, which consists of all rotations of a tetrahedron and all those operations multiplied by the central inversion. That sub-compound is uniform as well, of course.
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