Kropki-cycle
(Published on 28. July 2022, 12:58 by tesseralis)
Normal sudoku rules apply.
Digits joined by a black dot must have a ratio of 1:2. Not all black dots are given.
Within a row, let a 'cycle' be the path taken starting from digit A in column X and then looking at digit B in Column A, then digit C in Column B etc until the cycle returns to digit A again. The 'order' of a cycle is the number of unique digits contained in the cycle. eg A 5 in r9c1, a 9 in r9c5 and a 1 in r9c9 would force a cycle of order 3. In this puzzle the ORDERS of the CYCLES of digits on each side of a black dot also have a ratio of 1:2.
Solution code: Row 4, followed by row 5
Comments
on 11. February 2024, 03:05 by erfan
Very cool puzzle, nice work.
on 11. August 2023, 08:04 by Christounet
Beautiful ! Quite straightforward once I really understood the rules... I had initially assumed that only horizontal black dots affected the ratio of cycles. Silly me...
on 8. August 2023, 18:55 by Fool on Hill
Delighted to find this one looking through some old unrated puzzles - some really nice logic.
--
thank you! glad you enjoyed it ^_^ ~tess
on 29. July 2022, 14:46 by ern3301
What a Great puzzle. Cheers to the setter :))
on 28. July 2022, 22:33 by mathpesto
What a fun and elegant puzzle! Lots of unique logic that was thrilling to discover.
on 28. July 2022, 18:32 by Isa
Fun puzzle :)
