Digital Loop
(Eingestellt am 22. Mai 2025, 22:44 Uhr von mathpesto)
Rules:
Loop: The grid contains an orthogonal loop which must not touch itself orthogonally but may touch itself diagonally. Cells on the loop contain the digits 1–9 and among these cells, digits cannot repeat in the grid's rows nor columns.
Fillomino: Divide the remaining cells in the grid into polyominoes so that no two polyominoes of the same size share an edge. Each fillomino cell contains a number equal to the size of its polyomino.
Arrows: If an arrow is in a cell on the loop, the cell contains a number equal to the sum of all fillomino cells in that direction. If an arrow is in a fillomino cell, the cell contains a number equal to the sum of all cells on the loop in that direction. (Note: A fillomino cell can contain a number greater than 9.)
Solve online:
Lösungscode: Digits on the loop in Column 9 (top to bottom)
Kommentare
am 29. Mai 2025, 22:20 Uhr von Christounet
Classic mathpesto puzzle! Very enjoyable. Thanks :)
am 29. Mai 2025, 08:16 Uhr von Nordy
Insane. Many absolutely gorgeous steps from start to finish. Once I figured out a solid notation strategy, it was remarkably smooth!
am 28. Mai 2025, 17:48 Uhr von skuntsel
What an stunning puzzle! It was an absolute treat to solve! The quality is just impeccable, every next step is truly rewarding with several breakthroughs along the way that feel really nice! True, it’s hard to keep track of arrows, especially on a phone, with a loop rendered, but that’s a minor thing. Really fascinating how it all resolves, and how much weight there is on any arrow. And you expect it to crumble after two, no three break-ins, but it resists just until the end leaving ambiguity along the way. Just a perfectly blended and uniformly unfolding setting. Liked every minute solving it, it surely is one of the best puzzles of the year. Of course nobody expected anything less from you, Math, but it is this uncanny feeling you often get that some minds are by miles ahead of many. Thank you for sharing this amazing construction!
am 26. Mai 2025, 22:09 Uhr von teff
always a pleasure Math!
am 23. Mai 2025, 20:55 Uhr von twobear
Enjoyed solving it immensely. Thank you!!
am 23. Mai 2025, 14:54 Uhr von Snookerfan
Great puzzle! Fascinating ruleset. I got a little lost in keeping track of all the arrows, so it took me quite a while, but I had fun all the way. Thank you
am 22. Mai 2025, 23:12 Uhr von shartus
I was able to place a 2 in r8c12
