Timeline for How to describe the common boundaries between regions in a infinite Sudoku?
Current License: CC BY-SA 4.0
7 events
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| May 21, 2018 at 19:58 | comment | added | DukeZhou | Dr, Hamkins, please let me know what you think of my topological(?) approach to the infinite Sudoku board: mathoverflow.net/a/300521/105789. I'm quite certain it doesn't break any of your solutions for impartial Sudoku, and I need an infinite board with regional connections to demonstrate how your even solution extends into intrinsic, partisan forms of Sudoku. (You are the first thinker I've come across who not only acknowledges the two sets of coordinates (α,β,γ,δ), but, via infinite Sudoku, explains why it must be so.) | |
| May 17, 2018 at 16:55 | comment | added | DukeZhou | Thank you for answering! (This is very helpful on many levels:) I noticed the vanishing boundaries in your graphic, and they made me think of the calculus functions for approaching infinity or approaching 0. I tend to think of regional boundaries because the form of m,n,p-games (what we're calling Sudoku games) under the canonical form of the set of games [M] involve element values and numeric "influence" (value/2) that extends from border cells to external regions connected orthogonally or diagonally. I may have actual followups, but will chew on your solution and answers for a while. | |
| May 16, 2018 at 12:12 | history | edited | Joel David Hamkins | CC BY-SA 4.0 |
Fixed order of coordinates to (local,global).
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| May 16, 2018 at 11:33 | history | edited | Joel David Hamkins | CC BY-SA 4.0 |
improved exposition, spelling, grammar
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| May 16, 2018 at 4:11 | history | edited | Joel David Hamkins | CC BY-SA 4.0 |
added 227 characters in body
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| May 16, 2018 at 3:57 | history | edited | Joel David Hamkins | CC BY-SA 4.0 |
added 362 characters in body
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| May 16, 2018 at 3:49 | history | answered | Joel David Hamkins | CC BY-SA 4.0 |