Bird of Paradise (Segmented Region Sum Lines)
(Published on 18. October 2022, 01:11 by AnalyticalNinja )
Normal sudoku rules apply.
Consider each colored line as consisting of one or more segments. For every line:
- Region boundaries determine segment divisions.
- Each segment must sum to the same total N. Different lines may have different sums.
- Each segment must contain a different constraint from the following:
Renban - a set of consecutive digits in any order.
German Whispers - adjacent digits must differ by at least 5.
Parity - digits must be all even or all odd.
Arrow - the digit at one end of the segment sums the other digits on that segment.
- No segment may satisfy more than one of these constraints.
(example, a segment of 917 would be invalid because it is both a German Whisper and Parity segment.)
Colors have no meaning beyond differentiating the lines.
Here is an example of this Sudoku variant on a 6x6 grid:
Solution code: Column 6 followed by row 8. (18 digits now spaces)
Comments
on 22. October 2022, 21:14 by AnalyticalNinja
Corrected German rules, Thanks Skorp17 for pointing out the error!
on 21. October 2022, 20:05 by dumediat
There was some really gorgeous logic in this puzzle, the interaction between the line segments was fascinating to me. Thank you very much for sharing, it was well worth the time!
- Thank you so much for the fantastic feedback! I'm really glad you got so much enjoyment from my puzzle! Feedback like this really fuels me as a setter, so thanks again!
on 18. October 2022, 23:34 by AnalyticalNinja
Slight rewording on title description.
on 18. October 2022, 19:36 by AnalyticalNinja
Added more emphasis to name and description of puzzle.
on 18. October 2022, 13:23 by Chilly
Very nice construction. Enjoyed that a lot.
- I'm so glad you enjoyed my puzzle, I really appreciate hearing that!
on 18. October 2022, 10:22 by lerroyy
Great puzzle and design! thanks
- Thank you! I'm so glad you enjoyed my puzzle! Also I really appreciated your help with the sample puzzle, it was a great idea for inclusion!
on 18. October 2022, 03:48 by Playmaker6174
Really remarkable how each line unfolded its secrets as the solve went on, I did find the parts around box 123 the trickiest but it made for a cool solve later on. Very nice and rewarding puzzle :)
- Thank you for the solve and great feedback, I'm really glad you enjoyed it!
on 18. October 2022, 03:13 by cdwg2000
Very nice!
- Thanks a bunch, glad you liked it!
on 18. October 2022, 01:52 by AnalyticalNinja
Fix broken link
on 18. October 2022, 01:42 by awesomesauce
This puzzle has a very interesting and fun ruleset. I enjoyed this a lot and loved figuring out what constraint corresponds to each segment.
- Thanks so much for the excellent feedback, I'm really glad you enjoyed my puzzle!
