Investigation of one-band-free patterns

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Investigation of one-band-free patterns

Postby dogiaokhanhlinh » Mon May 27, 2019 9:33 am

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
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Re: Investigation of one-band-free patterns

Postby m_b_metcalf » Tue May 28, 2019 7:17 am

dogiaokhanhlinh wrote: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
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Re: Investigation of one-band-free patterns

Postby 1to9only » Tue May 28, 2019 8:00 am

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Re: Investigation of one-band-free patterns

Postby Mathimagics » Wed May 29, 2019 2:54 am

Not a genuine post = not a genuine member registration.
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