Anti-Anti-Knight (Whispers/XV/Kropki)
(Published on 28. July 2026, 09:02 by Kutsumi Hane)
Rules:
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·Toroidal Grid:
The grid wraps around both horizontally and vertically;
·Anti-Anti-Knight: Every cell has at least one knight-move neighbor with the same digit;
·German Whispers: Adjacent digits on green lines must differ by at least 5;
·Kropki Dots: Black dots indicate a 1:2 ratio between the digits;
·XV: Digits separated by an X sum to 10, and by a V sum to 5.
Here you can solve the puzzle online:
The difficulty is probably 2 stars. I wish you joyful solving!
(Another harder version with the same core: [Anti-Anti-Knight II(Whispers/Kropki)])
Hint:
| · | Start with the high-low alternation on each German Whispers line. |
| · | During the solve, it may be helpful to check each cell's candidates against those of its knight-move neighbors – if a digit doesn't appear in any neighbor's candidate list, it can't go in that cell. |
Solution code: Column 8
Comments
on 25. September 2026, 22:58 by yuripuppies
My first time doing anti-anti knight and toroidal constraints, it was a mind trip but it came together quite nicely! 3* difficulty for me
on 30. July 2026, 20:40 by Sudokujoker
Very nice design - a fun solve path and a great introduction to the concept of a pro-knight constraint. Thanks!
on 29. July 2026, 14:25 by LeaVulpina
Very nice! A little brain-bending to scan, but fun the whole way through!
on 28. July 2026, 11:55 by philolologue
This was insanely fun! Not sure I'd give it 3 stars for difficulty, closer to 1.5 stars, no difficult deductions or places to get really stuck, just pure fun chasing the constraints, took about 25 min for me. Don't be intimidated by the toroidal constraint, just mentally transpose any edge column or row to the opposite side of the grid to visualize the cells a knight's move away.
on 28. July 2026, 10:41 by Kutsumi Hane
Editor's note: The solution code has now been simplified.
on 28. July 2026, 10:27 by wuc
Refreshing puzzle. Loved the extrapolation logic. Great setting thx. (Solution code long for smartphone)
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Response from Kutsumi Hane:
Thanks! Appreciate the feedback. I'll trim the solution code down to a cleaner version right away. Glad you enjoyed the logic and setting.
