Nurimazomino
(Published on 8. June 2024, 23:24 by mathpesto)
Rules:
Fillomino: Divide the grid into polyominoes so that polyominoes of the same size don't share an edge. Each cell contains a number equal to its polyomino's size.
Nurimaze: Cells with letters, circles, and triangles are unshaded. Some of the unshaded cells form an orthogonal, one-cell-wide path from S (start) to G (goal). The path includes all cells with circles and no cells with triangles. All unshaded cells form an orthogonally connected area, and unshaded cells cannot form a loop. A polyomino is either fully shaded or fully unshaded, while a 2x2 area cannot be fully shaded nor fully unshaded.
Arrows: Numbers on cells with arrows refer to the total amount of polyominoes seen in the indicated direction(s). If multiple arrows in a cell see the same polyomino, it is only counted once.
For those unfamiliar with nurimaze, here is a link to an explanation/example on puzzlink.
Solve online:
Solution code: From top to bottom, numbers on the path in Column 1, followed by numbers on the path in Column 2.
Comments
on 6. October 2024, 22:35 by AsgarArn
Very fun puzzle! Plesant solve, had a great flow to it.
Maybe it is just me and my unfamiliarity with arrows but i found it hard to know if the arrow number include the square it is in or not, not sure if ment to be obvious by the rule or to be deducted.
on 20. June 2024, 13:38 by Christounet
Very fun ! And clearly easier than other nurimaze variants I tried before. Thanks :)
on 11. June 2024, 15:07 by Jds2
Can you clarify the loop rule? Does it only count as a loop if it is enclosed orthogonally or does that rule also include loops closed diagonally?
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Diagonal is fine, orthogonal loops are not allowed. -Math Pesto
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Thanks, I found another link with an example that shows the diagonal looping. ~JDS2
https://www.cross-plus-a.com/html/cros7nrmz.htm
on 9. June 2024, 15:36 by ONeill
Great ruleset, very fun!
on 9. June 2024, 03:34 by SudokuHero
A truly inventive puzzle. I am never disappointed with a MathPesto puzzle, and this is no exception.
on 9. June 2024, 00:25 by Nordy
One of the most fun puzzles I’ve solved! If you’re looking for a boring, tedious, non-innovative puzzle, stay far away from this one
