Organized Chaos
(Published on 3. November 2026, 18:06 by berdy)
This puzzle is significantly less chaotic than a typical chaos construction!
Rules
Place the digits 1-9 once in each row and column.
Region constructionDivide the grid into nine regions of nine cells each.
Every region contains the digits 1-9 once each.
All regions are orthogonally connected and have the same shape and orientation.
Circled digitsA circled digit is equal to the number of cells of its own region in its surrounding 3x3 neighborhood, including itself.
ToroidalThe grid is toroidal, cells on opposite edges of the grid (e.g. r5c1 and r5c9) are considered orthogonally adjacent.
This applies for region construction and circled digits.
Region bordersA thick line between two cells is a region border: the two cells are in different regions.
German whispersAdjacent digits along a green line have a difference of at least 5.
ThermoDigits along a thermometer increase from bulb to tip.
Solution code: The region containing r1c1 (reading order)
Solved by Jooshy, zeniko
Comments
Last changed yesterday, 19:29yesterday, 14:42 by marcmees
Q; the same orientation means - No mirror allowed AND no rotation allowed or only Mirror image excluded?
Berdy: A; no mirror and no rotation-- translation only
on 3. November 2026, 23:22 by Jooshy
Beautiful! Very interesting deductions to be made about the ruleset. Thanks for sharing.
Last changed on 3. November 2026, 21:33on 3. November 2026, 21:33 by berdy
@Ocklepod impressive domain knowledge! With the right insight, you won't need to rely on exhausting the possibilities
on 3. November 2026, 20:03 by Ocklepod
Now I know every nonomino shape that can tile a 9x9 torus without rotations. Still can't find the right one for this puzzle
