very symmetry
(Published on 2. June 2026, 19:13 by mellowrobinson)
Chaos Construction:
- Divide the grid into nine orthogonally connected regions, and fill every cell with a digit from 1-9 so there aren't repeats in a row, column, or region.
Internal X-sums:
- A digit on a circle clue indicates how many cells of its region the circle sees in all orthogonal directions, including itself, where region borders block vision.
- If the clue has a number attached, all the seen cells must sum to it (including the digit in the circle).
- All possible circles are given.
- Across the marked diagonal, the shapes of regions are mirrored exactly. This includes regions on the diagonal, which must be self symmetric.
- Two cells reflected across the marked diagonal must be from the same "nine-tropy", that is, be from the same set of [1,8], [2,7], [3,6], [4,5], or [9].
Click here to solve
Solution code: row 5, with dashes for region borders. e.g. 123-4-5-67-89
Comments
on 7. June 2026, 09:07 by Crusader175
Very nice!
on 6. June 2026, 18:17 by madhupt
A very very cool and fun puzzle! Had a wonderful time solving it! Thanks a lot for sharing.
on 5. June 2026, 07:11 by Exigus
Very excellent. Thanks!
on 5. June 2026, 03:03 by mellowrobinson
Fixed rules
on 4. June 2026, 17:42 by QuiltyAsCharged
very symmetry, much mirror, such lovely
on 4. June 2026, 10:02 by Snookerfan
Excellent puzzle! Very creative and fresh. Thanks
on 3. June 2026, 15:59 by Douglass
Very very beautiful
on 3. June 2026, 14:01 by Chilly
Lots of fun, this one.
on 3. June 2026, 09:27 by dennischen
very cool!
on 3. June 2026, 03:49 by MaizeGator
Another whacky idea/ruleset from you where my first reaction is "what"?!, then it quickly wins me over with quirky charm
on 2. June 2026, 23:53 by marcmees
Very enjoyable solve. Thanks
on 2. June 2026, 21:14 by mellowrobinson
fixed solution code
on 2. June 2026, 20:53 by NotVeryNeat
Really cool puzzle! Novel and fun region building :) I don't think the solution code is quite working fyi
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Oops! Thank you, should be working now. -mellow
