Dang it you are right! Mental mush today. My mind was stuck on fill-in-the-blank-ness and oneness inside the blocks (the 3x3 sub-blocks of a sudoku puzzle are magic squares) and I forgot about the repetition.
Magic squares are N items used only once within a single block as opposed to a 3x3 grid of blocks. To turn this into a sudoku one would need to do a bit more ... have to make dinner now, so I hope readers will be patient while I decide whether to amend the title and original post or amend the software to generate a true sudoku puzzles.
However, couldn't you create a 9x9 sudoku puzzle from a set of magic squares by properly rotating and transposing a magic square?
Best, beth
Update:Re-added line so that JavaFan's comment makes more sense. I realized was wrong and deleted the question while JavaFan was preparing his post below, not realizing that he was already preparing a response - Whoops! To further his point, since all magic squares have the same middle, the diagonal as well as any (3*N+1)%3 (where N=0..2) row or column of a 9x9 matrix would have the middle of the magic square three times.
In reply to Re^2: Sudoku for Saints
by ELISHEVA
in thread Sudoku for Saints
by ELISHEVA
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