Category:Dihedral group Dih 4; single elements; SVG overview with permutation matrix
This category is an image set. It should contain only images that have the same style, and should have a parent category that is purely topical.
See also categories: Single 2-bit Walsh permutations; SVG overview with permutation matrix and Single 2-bit Walsh permutations; transform.The colored versions on the left match the corresponding cube permutations.
Those on the right are numbered simply as elements of the symmetric group S4.
The transformations are simplified to the effect they have on the four vertices of a square around the origin.
That should not distract from the fact, that e.g. (3, 0) is a rotation by 180° (leaving only the center fixed),
while e.g. (2, 0) is a reflection (leaving the whole horizontal axis fixed).
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;_subgroup_of_S4_(left).svg) The two leftmost columns include the 4×2 matrix shown on the left. |
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Subcategories
This category has only the following subcategory.
Pages in category "Dihedral group Dih 4; single elements; SVG overview with permutation matrix"
This category contains only the following page.
Media in category "Dihedral group Dih 4; single elements; SVG overview with permutation matrix"
The following 8 files are in this category, out of 8 total.
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Square permutation 0 0.svg 354 × 496; 99 KB
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Square permutation 0 1.svg 354 × 496; 103 KB
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Square permutation 1 0.svg 354 × 496; 104 KB
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Square permutation 1 1.svg 354 × 496; 107 KB
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Square permutation 2 0.svg 354 × 496; 104 KB
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Square permutation 2 1.svg 354 × 496; 107 KB
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Square permutation 3 0.svg 354 × 496; 106 KB
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Square permutation 3 1.svg 354 × 496; 104 KB