127.0.0.1: Created page with "==== Symmetry Operations ==== The following operations on a puzzle pattern are possible. * Identity operation - do nothing at all. * Rotate 180 degrees * Rotate 90 degrees..."

2021-10-27T18:09:31Z

Created page with "==== Symmetry Operations ==== The following operations on a puzzle pattern are possible. * Identity operation - do nothing at all. * Rotate 180 degrees * Rotate 90 degrees..."

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==== Symmetry Operations ====

The following operations on a puzzle pattern are possible.

* Identity operation - do nothing at all.
* Rotate 180 degrees
* Rotate 90 degrees
* Reflect across c5
* Reflect across r5
* Reflect along diagonal from r1c1 to r9c9
* Reflect along diagonal from r1c9 to r9c1
* Swapping towers
* Swapping floors
* Swapping columns in a tower
* Swapping rows in a floor.

==== Sudoku Puzzle Symmetry Groups ====

Now the operations above are not independent. For example you can't have four-fold rotational symmetry without having two-fold rotational symmetry.

==== Impossible Patterns ====

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Sudoku Puzzle Symmetries - Revision history

127.0.0.1: Created page with "==== Symmetry Operations ==== The following operations on a puzzle pattern are possible. * Identity operation - do nothing at all. * Rotate 180 degrees * Rotate 90 degrees..."