Duplexity
(Published on 9. December 2024, 02:00 by Sotehr)
PUZZLE
RULES
Sudoku: Normal Sudoku rules apply to both grids; place the digits 1-9 once in every row, column, and 3x3 box.
Ambiguous Lines: All lines are either Parity Lines or Polarity Lines. Each line is of one type in one grid, and the other type in the opposite grid. It is up to the solver to determine the nature of each line in the grid. Note: Different colors are used only to distinguish line intersections.
Parity Lines: Digits along a parity line alternate between odd and even.
Polarity Lines: Digits along a polarity line alternate between the sets {1,2,3,4} and {6,7,8,9}.
Killer Cages: Digits in a cage do not repeat and, if given, sum to the value indicated in the upper leftmost corner. If a value is not given, cages in the same position of each grid sum to the same value.
Ambiguous Lines: All lines are either Parity Lines or Polarity Lines. Each line is of one type in one grid, and the other type in the opposite grid. It is up to the solver to determine the nature of each line in the grid. Note: Different colors are used only to distinguish line intersections.
Parity Lines: Digits along a parity line alternate between odd and even.
Polarity Lines: Digits along a polarity line alternate between the sets {1,2,3,4} and {6,7,8,9}.
Killer Cages: Digits in a cage do not repeat and, if given, sum to the value indicated in the upper leftmost corner. If a value is not given, cages in the same position of each grid sum to the same value.
NOTES
Expected Difficulty: 4 stars
This was set for Scojo's Setting Saturday Prompt, this week chosen by palpot: Invent/Make Something Crazy, in honor of the first prompt he participated in 1 year ago.
Inspired by Chistounet's Jumelage and Zodiac Project: Gemini. I highly recommend both!
Play Duplexity on SudokuPad.This was set for Scojo's Setting Saturday Prompt, this week chosen by palpot: Invent/Make Something Crazy, in honor of the first prompt he participated in 1 year ago.
Inspired by Chistounet's Jumelage and Zodiac Project: Gemini. I highly recommend both!
Solution code: Column 5 of the grid with the lower value in r1c5.
Last changed on on 9. December 2024, 23:31
Solved by Klvsched, roflsalot, Andrewmi3, tuturitu, han233ing, lmdemasi, palpot, Piff, Nell Gwyn, peterkp, Paletron, akamchinjir, TripleABattery, Guvenistan, Clara123, MagnusJosefsson, c373s, Shmartus, ... aqjhs, mathpesto, Isael, softie, Snookerfan, oscarthegrouch, IamNumberN, by81996672, AnnaTh, Hazem-77, Da Letter El, DVFrank, SKORP17, DaleVandermeer, dogfarts, shangchenxi123, Matt14, earthpuzzles
Comments
on 11. December 2024, 10:16 by Snookerfan
Lovely smooth puzzle! Thank you
on 10. December 2024, 22:10 by mathpesto
This was such a delight to solve! I hope it inspires many other creations in this style!
on 10. December 2024, 20:40 by aqjhs
loved the duplicity duplexity doublecity of them all!!
on 10. December 2024, 19:34 by Christounet
Very cool ! Glad my puzzles inspired more twin grids. Thanks :)
on 10. December 2024, 17:42 by MagnusJosefsson
Fun and smooth!
on 9. December 2024, 06:17 by Andrewmi3
What a fun concept! I enjoyed the way the grids interacted throughout solving.
on 9. December 2024, 02:06 by roflsalot
More of these puzzles please, thanks.
