File:Cube permutation 0 2.svg
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Summary
[edit]DescriptionCube permutation 0 2.svg |
![]() ![]() One of the 48 elements of the full octahedral group represented as
The cube has the coordinate origin in its center. Vertex 0 has coordinate Transformation matrices (3×3) in the same row have the same pattern of negative rows, and those in the same column have the same pattern of non-zero entries. This is left action: Permutation The 24 permutations of the cube that leave a contained tetrahedron unchanged (those where the bottom left vertex of the resulting cube is light gray) are identified with numbers 0..23 corresponding to elements of S4. These elements' combinations with the inversion are identified with the same number with an added apostrophe. Transformations
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