This is a collaboration with the always-amazing gdc! Many thanks to him for coming up with the idea for the variant combination and a large amount of the logic in this puzzle, as well as many helpful discussions!
This puzzle is a continuation of a series of duality split pea / line puzzles. There are many more links below to puzzles in a similar vein!
Rules:
Sudoku: Normal sudoku rules apply.
Mod-Peas: Digits on a line between two circles sum to a two digit number written using the digits in the circles. For instance, 3-346-1 could be a valid split pea line, as 3+4+6=13, which is 1 concatenated with 3.
Furthermore, not including cells with circles, every set of three consecutive cells on a line must include a digit from (147), (258) and (369).
NOTES:
1. Because cells containing circles do not have to follow the modular rule, every line is a different modular line - in other words, modular classes may repeat in less than a 3-cell span if a circle is between them.
2. No bifurcation is necessary or allowed.
We wish you joyful solving!
Click the image of the puzzle to play!
This is the latest in a line of puzzles using the "Split Pea" variant. I always find this variant to be an absolute joy to set with, and if you enjoyed this puzzle and are looking for more, take a look at the puzzles in the table below this!
Puzzle Title | Collaborator | Variant(s) | Difficulty |
---|---|---|---|
Schrodinger's Split Peas | S-cells | ★ ★ ★ ★ ★ | |
Inner Peas | Yin/yang, hot/cold | ★ ★ ★ ★ ☆ | |
Peas and Quiet | German whispers | ★ ★ ☆ ☆ ☆ | |
We Come in Peas | Gene The Supreme | S-cells, Alien | ★ ★ ★ ★ ★ |
Last Resort | sujoyku | Region sum lines | ★ ★ ☆ ☆ ☆ |
Chaotic Gardening, Pt. 1 | Chaos construction, mean mini | ★ ★ ★ ☆ ☆ | |
Entro-Peas | sujoyku | Entropic lines | ★ ★ ★ ☆ ☆ |
Doublers Make Me Loop-Pea! | Doubler loop | ★ ★ ★ ★ ☆ | |
A Pea-ory of Everything | sujoyku | Many variants | ★ ★ ★ ☆ ☆ |
I have, in addition, been blessed to see many creators take up the challenge of setting with these lines on their own, creating some incredibly beautiful puzzles! I will list in the following table as many as I can.
Puzzle Title | Author | Variant(s) | Difficulty |
---|---|---|---|
Give Peas a Chance | juggler | 6x6 | ★ ☆ ☆ ☆ ☆ |
No RePEAts! | sujoyku | Disjoint set | ★ ★ ☆ ☆ ☆ |
Pea-chy Keen | Gene The Supreme | Renban | ★ ★ ★ ☆ ☆ |
Split Pea Loup | yttrio | Regional loop | ★ ★ ★ ★ ☆ |
Like Peas in a Quad | Scojo | Quadruple clues | ★ ★ ★ ☆ ☆ |
Goo Peashooter | Ridhwan | Renban (full-pea) | ★ ★ ★ ☆ ☆ |
Lösungscode: Column 3, from top to bottom.
am 10. Oktober 2024, 15:31 Uhr von QuiltyAsCharged
It was fascinating to see how the mod-3 math interacted with the split peas. Terrific puzzle, quite challenging!
am 3. Oktober 2024, 17:29 Uhr von vitaminz
A fabulous blend of arithmetic and geometry. I'm in awe of this one.
am 30. September 2024, 01:13 Uhr von SamuPiano
Added a few new split peas puzzles!
am 27. September 2024, 23:23 Uhr von sujoyku
Lovely puzzle! I had a slight brain-melt at some points, staring at a clue and not realizing that it already was entirely forced. :)
But there is only me to blame when attempting a hard puzzle while already being fatigued.
The modular split peas are a great idea which you executed with perfection. Thank you for setting and sharing this gem, SamuPiano and gdc!
am 27. September 2024, 19:43 Uhr von Franjo
Very nice and - for me - hard puzzle, but I really enjoyed the whole walk on the solving path. Thank you (both!) for creating and sharing this masterpiece.
am 26. September 2024, 17:59 Uhr von gdc
It was a pleasure to create this puzzle together. I already liked the split peas form a solving perspective but setting with them gave me a whole new perspective.
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Thank you for approaching me with the idea! It came together very beautifully and I am so happy that you enjoyed setting with these lines! -SP
am 26. September 2024, 17:29 Uhr von Snookerfan
Very nice! Thank you
Schwierigkeit: | |
Bewertung: | 98 % |
Gelöst: | 28 mal |
Beobachtet: | 0 mal |
ID: | 000JZT |