Logic Masters Deutschland e.V.

wreath product

(Published on 24. December 2024, 06:00 by aqjhs)

  • Samurai sudoku rules apply: normal sudoku rules apply for each 9x9 grid, boxes shared between grids conform to both grids' sudoku.
  • Origami rules:
    • Fold the grid in such a way that both sides are 9x9 grids and both show a closed green loop. (A first fold is marked with a yellow diagonal)
    • Normal sudoku rules apply on the resulting 9x9 grids as well.
    • Cells folded in half to make cells of the folded grids must have the same digit when unfolded.
    • Each shaded box must completely overlap each other.
    • Shaded cells that match when overlapped have the same digit.
    • (Note: On a printed copy, solver may have to cut a slit on the edge of one of the corner shaded boxes to see the loop properly.)
  • Shaded boxes are magic squares: their 3-cell rows, columns and diagonals have the same sum.
  • Digits joined by a red dot are in 1:3 ratio and digits joined by a white dot are consecutive. Not all possible dots are given. Half dots that show up on a folded grid also apply.
  • There are three green loops, one is shown already closed and the other two close on the folded grids. Each loop satisfies a different rule out of the following:
    • Adjacent digits along the line must have a difference of at least 5.
    • Box borders split the line into segments with the same sum.
    • Every three consecutive cells along the line must have one digit from each of the sets {123}, {456}, and {789}.

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See also:

***Spoiler alert***

Here are some auxiliary grids for one wreath and for the other wreath.

Solution code: Row 7

Last changed on on 24. December 2024, 08:06

Solved by PjoeterBliep, SKORP17, askaksaksask
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Comments

Last changed on 24. December 2024, 22:00

on 24. December 2024, 18:22 by askaksaksask
Samurai puzzles are usually extensions of scanning and constraint challenges, and while those are present here for sure, the real beauty here to me is the geometric puzzle. Even after conquering the folds, there are plenty of nice little deductions. I do love how the folds resolve otherwise deadly patterns as well! What a wonderful puzzle, and so creative, thank you!

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glad you liked it :D

Last changed on 24. December 2024, 22:03

on 24. December 2024, 10:39 by PjoeterBliep
Lovely puzzle! The folding part is a bit difficult to wrap your head around, but after that it solver very smoothly!

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glad you liked it and thanks for helping with the testing!

on 24. December 2024, 08:06 by aqjhs
happy holidays!

Difficulty:4
Rating:N/A
Solved:3 times
Observed:3 times
ID:000K1X

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