I've often thought there are not really very many Sudoku patterns. You know, if you relabel a finished puzzle it's not really a 'different' solution. Also you c

I've often thought there are not really very many Sudoku patterns. You know, if you relabel a finished puzzle it's not really a 'different' solution. Also you can permute sets of 3 rows (or columns) without materially changing the solution or the difficulty in solving it. Also blocks of three rows (or columns) can be permuted, same thing. I had a fantasy that maybe there's only 1 Sudoku puzzle, and the whole problem is to determine the labelling on the one in front of you!