Logic Masters Deutschland e.V.

Binoxxo your position

(Published on 16. October 2025, 15:30 by SharpFox)

I often also solve Binoxxos and because of my appreciation I had the idea of combining it with Sudoku. Hope you enjoy "the Binoxdoku".


🧩 Binoxxo your position

SudokuPad

Rules:

  • Standard Sudoku rules apply.
  • The grid is surrounded by an extra outer row and column, both boldly outlined, forming a 10×10 layout.
  • In this outer layer, a Binoxxo is played: each cell is either orange or blue (instead of X or O).
    • No three cells of the same color appear consecutively in any row or column.
    • Each row and column of the Binoxxo area contains an equal number of both colors.
    • No two rows in the Binoxxo area are identical.
  • For each inner Sudoku row and column:
    • The first outer cell indicates, by its color, which inner cells are relevant.
    • Let A and B be the digits in the first two inner cells that share the same color as that outer cell.
  • If a clue appears in the colored outer row or column, it gives the sum A + B.
  • If a clue appears in the next outermost row or column (beyond the Binoxxo), it gives the sum of the A-th and B-th digits in that row or column.
  • White dots connect adjacent cells whose digits are consecutive (difference = 1).

Here is an example of a Binoxxo (usually it is played with X and O):

Solution code: The blue cells of column 1 (4 or 5 digits):

Last changed on on 29. November 2025, 15:31

Solved by marcmees, Dendr, adalg, Nakedsinglehunter, bhambells, Pigeo
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Comments

on 3. December 2025, 08:35 by Nakedsinglehunter
It was a pleasure!

on 2. December 2025, 02:29 by adalg
Hello SharpFox,
Thank you for the clarification and kind words. With this amendment in the ruleset, the puzzle is perfect and I highly recommend it. Absolutely brilliant.

This evening, before I noticed that you had answered, I happened to show this puzzle to my son, who is a fan of variant sudokus and quick to solve. We decided to see what would come out of it if we never compared the colour patterns of rows or columns and it worked fine with the remaining rules. We enjoyed it very much. A very attractive ruleset and rewarding solve path.

Really nice, thanks again!

on 29. November 2025, 15:31 by SharpFox
Hello adalg,
Thank you so much. I am very touched by your kind words. Your solution path is incredibly detailed and correct. It's my fault, I wrote the ruleset incorrectly. Yes, there are no two identical Binoxxo rows, but there can be multiple Binoxxo columns with the same colouring.
I'm sorry about that.

Everything up to step 20 is still correct and you should start from that point again. I hope you enjoy solving the rest of the puzzle and that I can give you back some of the joy you haven given me.

Last changed on 20. November 2025, 00:56

on 20. November 2025, 00:53 by adalg
Thank you for this exciting puzzle. I really like the ruleset and enjoy learning how to solve the binoxxo. But I can't get past the clues for columm 7 in the sudoku, no matter how many times I've started over (it ends with a conflict). Could I ask you to take a look at my attempt (see link in hidden comments)? I'm sure you will quickly spot where I've misunderstood something, and then you could maybe refer to which step I should correct. The reason I'm asking this favor is partly that I would like to see your puzzle gaining more attention but maybe some improvements in the explanations would be needed for that.

Last changed on 5. November 2025, 06:03

on 19. October 2025, 12:44 by SharpFox
I added the example. Thanks to Dendr and elephantwoman for the kind words. I'm glad you enjoyed it!

on 18. October 2025, 11:18 by Dendr
I just registered to say that I really enjoyed this puzzle. Still, it drove me crazy til I realized... If you're stuck like me, just ignore 'identity' rule.

on 17. October 2025, 13:32 by elephantwoman
still haven't finished it because i'm terribly stuck but oh boy. this puzzle is insane. it took me 10 minutes to even understand the rules enough that i can somewhat intuitively follow them. don't get me wrong, it's really fun and interesting, but it's HARD.

Difficulty:2
Rating:N/A
Solved:6 times
Observed:1 times
ID:000PQD

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Solution code:

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