Mod Pods (with gdc)
(Published on 26. September 2024, 15:44 by SamuPiano)
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) | ★ ★ ★ ☆ ☆ |
Solution code: Column 3, from top to bottom.
Comments
on 10. October 2024, 15:31 by QuiltyAsCharged
It was fascinating to see how the mod-3 math interacted with the split peas. Terrific puzzle, quite challenging!
on 3. October 2024, 17:29 by vitaminz
A fabulous blend of arithmetic and geometry. I'm in awe of this one.
on 30. September 2024, 01:13 by SamuPiano
Added a few new split peas puzzles!
on 27. September 2024, 23:23 by 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!
on 27. September 2024, 19:43 by 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.
on 26. September 2024, 17:59 by 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
on 26. September 2024, 17:29 by Snookerfan
Very nice! Thank you
