Logic Masters Deutschland e.V.

Equality Cages 122 x Shifter Lines 108: Vortex

(Published on 21. January 2024, 16:37 by gUBBLOR)

I've planned to combine Equality Cages and Shifter Lines basically since I invented Shifter Lines. Not sure why it took so long, but something tells me I'll be making more of these in the future. This one should be fairly easy. The previous and next puzzles in the series:
Equality Cages 121: Ranked cells
Equality Cages 123: A multitude of constraints
Shifter Lines 107: Shifty little arrows
Shifter Lines 109: Between the Shifter Lines

All my series:
Equality Cages
EquaLite Cages
Shifter Lines
Shifter Dots



Rules:
Normal Sudoku rules apply. Place the digits 1 through 9 in each empty cell. Digits must not repeat within the same row, column, or box.

Equality cages: Cages must have an equal number of low (1,2,3,4) and high (6,7,8,9) digits AND an equal number of even (2,4,6,8) and odd (1,3,7,9) digits. Equality cages can never contain 5. Digits may not repeat in a cage.

Shifter lines: Adjacent digits within the same box on a shifter line share both parity (even/odd) AND polarity (low/high). Whenever the line enters a new box either the parity OR the polarity shifts, never both. Shifter lines can never have 5 on it. Digits may repeat on lines.

Kropki dots: A black dot between cells indicates cell values with a 2:1 ratio. A white dot between cells indicates cells with consecutive values. Not all dots are shown.

X: Adjacent cells connected with an X must sum to 10. Not all X's are shown.

Solve here:
Sudokupad

Video featuring the puzzle:
Sudoku Sleuth

Solution code: Row 3 left to right and column 5 top to bottom - no spaces.

Last changed on on 17. April 2024, 19:08

Solved by fahmisack, Philologos, isajo4002, Zandi, SKORP17, mcc, agueybana, Jasura, Notlob, maniacaljackal, rlg, two_halves1, roavin, benisjammin, Asphodel, ark29, larinae, stonetim, Odinvi00, achim-t, Hajuhn, ... latters176, Pinevie, Bankfred, AnotherBubblebath, Toren, Horoshamu, MineLenny, jgarber, Ascha, sandmoppe, king of soul, kipcool, elloschmello, jsxft, burgermason, Jensa, me and the paws
Full list

Comments

Last changed on 19. October 2024, 19:00

on 15. October 2024, 15:18 by burgermason
10:12, enjoyed it

on 5. July 2024, 11:39 by KingIsulgard
Loving these shifter lines puzzles, new variant for me. Too bad there isn't a tag for it yet.

on 9. June 2024, 16:44 by maiaz
Woot ... love the way the cages and shifters interact

on 17. April 2024, 19:08 by gUBBLOR
Added video link to puzzle being solved

on 6. April 2024, 06:12 by Kiiyora
Finally discovering that equality cages are just like shifter lines but a little extra. A very satisfying solve, loving this series

on 9. March 2024, 18:43 by gUBBLOR
Added links

on 26. January 2024, 21:56 by gUBBLOR
Added some links

on 25. January 2024, 12:46 by Ceres
Yet another excellent Shifter-Lines puzzle. Keep up the awesome work. I'm always happy to solve them :D

on 23. January 2024, 16:44 by dingledork
A marriage made in heaven!

on 23. January 2024, 07:52 by Ganbatte
My first 2-star puzzle! Made some mistakes along the way but got it in the end. I like the shifter lines and equality cages.

Difficulty:2
Rating:95 %
Solved:120 times
Observed:7 times
ID:000GNH

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Solution code:

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