A Complex Puzzle (6x6, Complex Numbers)
(Published on 15. May 2026, 13:41 by Dr Logic)
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Not too much to say about this puzzle, had the idea the other day and acted upon. This is the result. There is no answer check, for obvious reasons.
A table has been provided for your convenience, use it how you wish (colours, letters, numbers or not at all!)
A colourblind friendly grid has also been provided, each contour has been numbered.
Happy solving!
- Normal sudoku rules somewhat apply.
- Choose and place 6 pairwise distinct digits, each taking values of the form x+iy, where x and y are from the set [-1,0,1], such that no value may be repeated in any row, column or marked 2x3 box. The 6 digits are the same for the entire grid.
- Values along a marked contour must sum to the sum of the values placed in all marked singularities contained by the contour. Singularities are given by small black dots in some cells.
- Values separated by an "=" have identical moduli. Not all =s are given.
- Values in a killer cage cannot repeat and sum to the given total.
Solution code: Values in row 1 from left to right, with a hashtag (#) separating each value. E.G -1-i#-1#-1+i#-i#0#i
Comments
on 20. May 2026, 15:57 by Dr Logic
Updated rules to hopefully avoid further confusion
on 18. May 2026, 22:23 by dzamie
This went a lot smoother once I properly read the rules to see that the entire puzzle shares the same 6 values, rather than a quattroquadri-like ruleset.
I appreciate the way you set up the notes area; it made thinking about the relationships between numbers a lot more convenient.
on 17. May 2026, 15:38 by NPlusOne
Fun puzzle, very cool concept! Was a bit mindbending at first, but flowed very smoothly after the break-in :)
on 17. May 2026, 15:32 by NPlusOne
Fun puzzle, very cool concept! Was a bit mindbending at first, but flowed very smoothly after the break-in :)
on 16. May 2026, 15:42 by Dr Logic
Added 'Maths knowledge' as a tag, for obvious reasons
on 16. May 2026, 06:31 by buttons
Really fun puzzle, thanks for sharing!
