Logic Masters Deutschland e.V.

A while ago it was Nell Gwyn's birthday! 🥳
And for the ocassion I got together with MathGuy_12 to make a balanced version of our complexdoku puzzle. Hope you like it!

• This puzzle consists of two identically clued grids, one for the Real part and one for the Imaginary part.
• Balanced Quattroquadri: On each grid place one digit from -4 to 4 in each cell so they don't repeat in any row, column or 3x3 box.
• Anti-Pair: Cells in the same position between grids may not have the same digit.
• Complexdoku: Both grids are considered as a single grid of complex numbers: A pair of corresponding cells in both grids is considered as a single complex number A+Bi where A is the digit in the real grid and B is the digit in the imaginary grid.
• Ambiguous Complex Product Dots: The complex product of all cells touching a red star is equal to either 0+Ai or A+0i where A is the number on the dot. (The 40 clue only touches three cells.)

Note: The product of two complex numbers is

(A+Bi)(C+Di) = (AC-BD)+(AD+BC)i,

and the forms that yield a pure number are

C(A+Bi)(B+Ai) = 0 + C(A²+B²)i

and

C(A+Bi)(A-Bi) = C(A²+B²) + 0i

Online in Sudokupad

See also:

• Song and Dance with MathGuy_12
• FullY in Yank with MathGuy_12
• L'isle Joyeuse with MathGuy_12
• Cuauhtémoc with MathGuy_12 and ChinStrap
• on the eighth day