File:Cyclic group Z4; cycle graph; powers of Gray code permutation.svg

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Powers of the 4-bit Gray code permutation (compare Sloane's A195467)

The permutation matrices are arranged in a cycle graph of the cyclic group Z4 like ,
but the identity is in the top left position, so that the symmetric matrices are mirrored at the diagonal.

Cayley table of the cyclic group
(The orange vectors are the same as in the cycle graph.)
The four permutations in a matrix
Below the dual matrix, showing the single binary digits
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Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".

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current17:17, 16 September 2011Thumbnail for version as of 17:17, 16 September 20111,003 × 855 (624 KB)Watchduck{{Information |Description=Powers of the 16-bit Gray code permutation This is a cycle graph of the cyclic group Z<sub>4</sub> like File:GroupDiagramMiniC4.png, but the identity is in the top left posi

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