Logic Masters Deutschland e.V.

wreath product

(Eingestellt am 24. Dezember 2024, 06:00 Uhr von 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}.

Online in Sudokupad

See also:

***Spoiler alert***

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

Lösungscode: Row 7

Zuletzt geändert am 24. Dezember 2024, 08:06 Uhr

Gelöst von PjoeterBliep, SKORP17, askaksaksask
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Kommentare

Zuletzt geändert am 24. Dezember 2024, 22:00 Uhr

am 24. Dezember 2024, 18:22 Uhr von 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!

***

glad you liked it :D

Zuletzt geändert am 24. Dezember 2024, 22:03 Uhr

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

***

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

am 24. Dezember 2024, 08:06 Uhr von aqjhs
happy holidays!

Schwierigkeit:4
Bewertung:N/A
Gelöst:3 mal
Beobachtet:3 mal
ID:000K1X

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Lösung abgeben

Lösungscode:

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