Equality by Murat Can Tonta

This puzzle style was created by Erhard Notz for the 2019 World Puzzle Championship (innovations round). More Equality puzzles will be in our upcoming Loop Variety Collection 2.

Equality by Murat Can Tonta


or solve online (using our beta test of Penpa-Edit tools; use tab to shift between the default linex mode where left click+drag draws lines and right click marks X’s and a shading mode to help mark cells.)

Theme: Quadrants

Author/Opus: This is the 236th puzzle from our contributing puzzlemaster Murat Can Tonta.

Rules: Draw a single, non-intersecting loop in the grid that passes through some of the white cells. Each bold region must be visited at least twice by the loop. Each visit to the same region must pass through the same number of cells. If a number clue is given in a region, that number indicates the number of cells not used by the loop in that region. The loop cannot pass through gray cells, and gray cells cannot be counted as part of any bold region.

Also see this example:

Equality Example by Serkan Yürekli

Difficulty: 4 stars

Time Standards (highlight to view): Grandmaster = 5:45, Master = 9:30, Expert = 19:00

Solution: PDF and solving video.

Note: Follow this link for other Loop/Path puzzles. More Equality puzzles are in the book Loop Variety Collection 2.

  • Almost says:

    Cool puzzle. I like the way the 0 clue works with the large regions. The left side was quite difficult for me.

  • Steve says:

    Wow, this puzzle was really fun. I’m never fast enough to beat even the “expert” levels, but if I stick with it long enough I can usually solve it. This one took me nearly 28 minutes. I had a few really great ah-ha moments, which is fantastic!

  • nkm says:

    Nice interplay of numeric and geometric logic

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