Fibonacci Twisters
(Published on 28. May 2023, 15:52 by kieserel)
Rules:
Normal sudoku rules apply. Grey lines are Fibonacci lines. The first two digits at the beginning of the Fibonacci line can be anything, every successive digit has to be the sum of the previous two. For example, this would be a valid Fibonacci line of length 4: 3,2,5,7. The solver must determine the lines' ends and beginnings.
PS: It's been pointed out to me, that these are not really Fibonacci sequences. These are constant-recursive sequences of order 2. The closest generalization with a nice name I know is Lukas sequences, and they are far too general. Although I stand corrected, the name of the puzzle remains, since Lukas Twisters or Constant-Recursive Twisters of order 2 do not sound nearly as good as Fibonacci Twisters.
Solution code: Type the first two rows of the sudoku without spaces
Comments
on 4. June 2023, 20:30 by A Lumbercat
Took a bit of thinking to see how the lines worked, but super smooth solve after that. Everything fell into place instantly.
on 31. May 2023, 11:31 by kieserel
Added an example and a note
on 30. May 2023, 17:32 by Montikulum
Very clever.
on 30. May 2023, 07:33 by obi
Once I got past my initial confusion, I enjoyed the puzzle so much! Lovely logic :)
on 30. May 2023, 06:12 by obi
OK I'm clearly missing something - as far as I can tell, a 5-cell line without repetition must be 1,2,3,5,8...unless two-digit numbers are allowed? Otherwise I can't see any way of completing the puzzle? Help greatly appreciated!
Answer: First two numbers can be anything. You can start with 2 and 1, for example: 2, 1, 3, 4, 7,
- (edit) I now see how that can work! Thanks so much for the prompt response :)
on 30. May 2023, 02:41 by SHERAX
Always Nice If You Solve A Puzzle That Made You Fight For It But Isn’t That Hard….Keep Up The Good Work
on 30. May 2023, 00:20 by Ryx
Took me a while to see how to things could add up, then it was still a little challenging. Nice puzzle!
on 29. May 2023, 23:31 by SHERAX
Always Nice If You Solve A Puzzle That Made You Fight For It But Isn’t That Hard….Keep Up The Good Work
on 29. May 2023, 08:50 by liushong
No 11235, I'm not very happy
on 29. May 2023, 01:10 by Arlo Lipof
The break-in was simple and yet very clever! Thanks.
on 28. May 2023, 23:57 by HumanBirdsong
It took me a few minutes to understand the restrictions, but flowed very nicely one broken into. Lovely puzzle.
on 28. May 2023, 21:46 by Prof.Dori
As a math professor I really enjoyed the puzzle from start to finish. Even though I did force a bit the start but didn't see a clever way. After that did go very smoothly.
on 28. May 2023, 20:45 by GentlemanJim
Really enjoyed that puzzle. Very fun ruleset
on 28. May 2023, 18:14 by kieserel
Lowered difficulty level
on 28. May 2023, 18:05 by thoughtbyte
Awesome puzzle! Felt like a 3 star difficulty. Thanks!
