The New Sudoku Players' Forum

[dogiaokhanhlinh]

Hi, people!
It is well-known that patterns having 0, 1 or 2 empty boxes in the same band or stack can produce valid puzzles, but patterns having 3 empty boxes in the same band or stack cannot produce valid puzzles.
Here are examples of patterns which can produce valid puzzles ("x" denotes cells which must contain digits, "." denotes cells which must be empty).
CODE: SELECT ALL
Jin

[m_b_metcalf]

Hi, people!
It is well-known that patterns having 0, 1 or 2 empty boxes in the same band or stack can produce valid puzzles, but patterns having 3 empty boxes in the same band or stack cannot produce valid puzzles.
Here are examples of patterns which can produce valid puzzles ("x" denotes cells which must contain digits, "." denotes cells which must be empty).
CODE: SELECT ALL
Jin

Welcome to the forum. However, your post was missing the examples. Also, you might like to look at
http://forum.enjoysudoku.com/minimum-number-of-clues-per-band-stack-t32120.html, http://forum.enjoysudoku.com/ask-for-some-patterns-that-they-don-t-have-puzzles-t5384.html and
http://forum.enjoysudoku.com/ask-for-patterns-that-they-dont-have-puzzles-2-t31323.html.

Mike

[1to9only]

text "borrowed" from this feb 06, 2011 thread:
http://forum.enjoysudoku.com/investigation-of-one-band-free-patterns-t30199.html

[Mathimagics]

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