Scalar Multiplication
(Published on 17. August 2026, 17:12 by vegemike)
i'm back! again, this one came out a bit easier than i was after. the cages in box five are a little confusing because they overlap, i've tried to disambiguate that in the rules
Click here (https://sudokupad.app/drp0vpiiiu) or the image above to play!Rules
- Normal Sudoku rules apply
- Digits in a cage cannot repeat, and sum to the total indicated in the top left (when given)
- Cages of the same shape, size and orientation are scaled versions of eachother, each digit multiplied by a constant. Scaled digits are in the same relative positions between cages of the same shape, size and orientation. The scalar for a cage may be fractional, 1 or another number (as long as numbers in the cage are Sudoku digits).
- N.B. box 5 (the middle box) has 3 cages, some of which share digits: A 9 cell cage (the entire box), the 3 cell cage and a 2 cell cage.
Example of scaling
Solution code: The digits in the top 3 rows that are NOT in a cage, in normal reading order (left-to-right, top-to-bottom).
Comments
on 19. August 2026, 20:33 by vegemike
fixed formatting on deutsch page
on 17. August 2026, 17:58 by sujoyku
Nice one! The thing I already complained about is the only thing I do not like about the puzzle. :)
Thank you for this fun challenge, vegemike!
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thank you for your kind words!! it means a lot :)
- mike
on 17. August 2026, 17:49 by sujoyku
I like the idea of the variant, but do not see any need for clues that do nothing. :)
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i cant argue with that... ^_-
- mike
on 17. August 2026, 17:40 by sujoyku
Sorry, I might be missing something crucial about the rules. But do the one-cell cages have any impact? They will always be some scalar multiple of one another if we are allowed to use fractions as the scalars, won't they?
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they're just there to be confusing (and maybe to help disambiguate the cage rules...) :) but no, they do nothing!
- mike
