Logic Masters Deutschland e.V.

Equality Cages 112: Entropic modularity

(Published on 24. November 2023, 22:21 by gUBBLOR)

Schwupel invented Equality Cages for his puzzle Low Tide. I took it a step further and have created a whole series with them. This time we teamed up to create a puzzle together. If you enjoy this puzzle and think the difficulty is spot on for you, go check out some other puzzles by Schwupel. If you think this is bordering on too hard, my puzzles may be more relevant. The previous and next puzzle in the series:
Equality Cages 111: Searching for 5s
Equality Cages 113: What line is it anyway?

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.

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.

Entropy: The orange lines are entropic lines. Each set of three consecutive digits on a line must be one each from (1,2,3), (4,5,6), and (7,8,9). Digits may repeat on a line.

Modularity: The green lines are modular lines. Each set of three consecutive digits on a line must be one each from (1,4,7), (2,5,8), and (3,6,9). Digits may repeat on a line.

Solve here:
Sudokupad

Video featuring the puzzle:
Sudoku Sleuth

Solution code: A completion message with the solution code will be available when the puzzle has been solved on Sudokupad!

Last changed on on 28. January 2025, 07:45

Solved by Jasura, Starlight, zuzanina, SKORP17, EFlatMinor, lmdemasi, Dermerlin, by81996672, dskaff, Sniglett, gumby, seeppp, jalebc, pepe74287, Grothenlace, Benji, aerenhart, root_vegetable, lianarox, ... atomvic, fab_minimal, yusuf17, duckling, KingIsulgard, jsxft, Matthew Humphrey, TripleABattery, Faaip, AlexandraV, widjo, TroublesomeOrca, tgstar, BabyfacedBard, Jastucreudo, FireRide, Ploctypus
Full list

Comments

on 28. January 2025, 07:44 by gUBBLOR
Changed solution code

on 9. March 2024, 18:37 by gUBBLOR
Added links

on 8. February 2024, 14:47 by gUBBLOR
Added video link to the puzzle being solved

on 12. December 2023, 23:31 by gUBBLOR
Added some links

on 26. November 2023, 14:24 by ryanprobably
Hard but fun

on 25. November 2023, 08:17 by Sniglett
Great puzzle, got stuck because I'm blind but what great fun that one was!

Difficulty:3
Rating:88 %
Solved:74 times
Observed:13 times
ID:000FXY

Enter solution

Solution code:

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