Andreas Leitgeb science forum beginner
Joined: 09 Jan 2006
Posts: 10
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Posted: Fri Mar 31, 2006 1:03 pm Post subject:
"colored" sudoku and other variants (was: General sudoku: set-theoretic definition)
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There was once (on january this year) a thread about some whitepaper
having determined the total number of non-equivalent sudokus.
Meanwhile there have appeared "new" variants of sudokus:
"colored": technically these are plain sudokus with
"color-enneads"(c.e.) additional to lines/rows/boxes.
each c.e. has one cell common with every box, and
three cells common with every third row/col.
I wonder, what the symmetry groups look like for these
sudokus.
non-rectangular-boxes: rows and columns as in original
sudoku, but instead of the square (or rectangular)
boxes, we have a (generally) arbitrary partition
of the whole square into groups of cells. Usually
each such group is contiguous, but thats just to
make it easier to print (contiguous groups only
need to be properly "bordered"). Of course these
groups should never be exactly equal to a row/column.
I saw two of that kind in a magazine, recently.
--
Nichts ist schlimmer als zu wissen, wie das Unheil sich entwickelt,
und voll Ohnmacht zusehn muessen - das macht mich voellig krank...
-- (Musical Elisabeth; "Die Schatten werden laenger") |
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