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Kurt Hugo Schneider's Nightmare!
🕑 Added 2020-05-17 16:57:13 +0000 UTCWe're sure many of you attempted Kurt's 6x6 Irregular sudoku (to win the wallet) a couple of weeks ago. Kurt has been busy creating an even harder test! Do have a go but, be warned, this is an exceptionally hard (but ABSOLUTELY BEAUTIFUL) puzzle.
Rules:
Fill each row/column/region with the digits 1 to 6. Regions are only partially defined and need to be completed (the given boundaries MUST be respected). Both marked diagonals also contain the digits 1 to 6. The two small arrows point to the smaller of the two cells they border.
We will certainly give a shout-out to any "good" solutions we receive ie those which explain the way to solve the puzzle logically (we may also give a prize, watch this space).
Enjoy and don't have bad dreams :)
Simon & Mark
Comments
Good point - thanks for clarifying.
This answer was articulated well above with "If a wall exists, it MUST separate two regions." So, yes, a line does guarantee it's part of and 'edge'.
When you're defining the boundaries, could any of the shapes include boundary lines that aren't relevant to the overall shape? Like if you had a 2x3 square as one section, call it cells A1 to B3, could there be a horizontal line between cell A1 and A2 that didn't actually form part of the boundary (e.g. didn't stretch across to cells B1/B2) and was just an extra line? Or do the lines given guarantee they're part of an outer edge?
Duke BG
I found a solution, though I haven't thoroughly checked the other branches to the end, so i don't have a logical "proof" that it's the only one, but in theory i could continue and get to a contradiction in other branches... I've recorded myself solving, but the video needs to be cut down before posting.
