ON EDGE: Brown & Green
(Published on 9. February 2025, 11:08 by marty_sears)
RULES (for part A):
- Normal 6x6 sudoku rules apply.
- Each spot along a coloured edgeline has a value, found by performing a calculation using the two digits it sits between:
- Sum (+) spots: The value of a spot with a plus sign equals the sum of the two digits it sits between.
- Difference (-) spots: The value of a spot with a minus sign equals the larger digit minus the smaller digit.
- Product (x) spots: The value of a spot with a multiplication sign equals the product of the two digits.
- Ratio ( / ) spots: The value of a spot with a forward slash equals the larger digit divided by the smaller digit. (The value will always be an exact integer.)
- Brown lines are 'constant edgelines'. Spot values along a brown line are all the same. This constant value must be determined for each brown line.
- Grey lines are 'edge thermos'. Spot values along an edge thermo strictly increase as you move away from the end with the bulb (the large spot.)
SPOT RULES:
LINE TYPES:
Solution code: Column 9 of the 9x9 grid, reading downwards.
Comments
on 4. March 2025, 00:56 by PancakePie
Love these sets of puzzles but BOY did I struggle at that last one. Made some bad fog assumptions and I paid. The. Price! Finally made it through after turning off my brain and turning it back on again. Still, even with the difficulty, such a fun and mind-opening journey. Thank you for this beauty!
on 3. March 2025, 05:49 by KillerCard10
That 9x9 was very difficult for me… I could not grasp the German Whisper in Box 5 to save my life! It just took a lot of iterating for me… but it was a lovely challenge right up into the end! Found this harder than Blue & Pink.
I loved how bending the constant line around cells with the division rule turned it into black kropki dots… such a versatile mechanic, edge lines!
on 26. February 2025, 19:17 by eladv
Great puzzle!! I thought there was an ambiguity in part C but it turns out I missed a rule.
Here is the picture of my (wrong) solutions, in case someone already looked at it and wants to check why I was wrong (my mistake is in R4C7): https://imgur.com/a/89qnuFL
Thank you for a great puzzle!!
on 19. February 2025, 02:08 by ChinStrap
Had the pleasure of testing all the 6x6s but this was the first time I got to see the 9x9. Loved every minute!
on 12. February 2025, 07:47 by jakestilesowen
Great job. Never stop innovating. Really cool how much new design space you make good puzzles out of.
on 11. February 2025, 03:50 by marty_sears
Thanks to those who gave me feedback about part C - I have now removed the unnecessary thermo
on 11. February 2025, 00:57 by OrestisLomis
Another lovely new ruleset! Took me a long time to wrap my head around the interactions, but very nice once I did!
on 10. February 2025, 01:37 by mscha
Very nice! The first two parts were a nice introduction, which made the much harder part 3 doable.
on 9. February 2025, 21:01 by sujoyku
What an incredible set of puzzles! Thank you for setting and sharing, Marty!
on 9. February 2025, 15:03 by EDL
Great intro to the new constraint, the interactions between different line types in 3rd puzzle are beautiful. Hope to see more edgeline puzzles in the future, I feel they have a lot of potential.
P.S. Maybe it's cause of the same graphics, but I'm already thinking about a crossover with another great series of yours, Finkz might enjoy a labyrinth made of edgelines instead of regular walls.
P.P.S. Small suggestion: post full rules for every puzzle, not only the first one; sometimes you want to re-read the rules and it's not always super convenient to return to the previous puzzle(s) to do it, especially on the phone.
Marty: thankyou for the nice comments and the feedback regarding the rules. I have updated so they are all there as a reminder in each part
on 9. February 2025, 11:57 by lmdemasi
Very nice!
