Logic Masters Deutschland e.V.

This was set in collaboration with aqjhs for Scojo's Setting Saturday prompts. juggler redeemed phase I of this prompt to create a puzzle that uses a self-invented constraint.

Thanks to ChinStrap for testing!

Rules:

• Normal 6x6 sudoku rules apply on each grid.

• 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. (e.g. the cell r6c5 is a given 3+4i complex number.)

• Red lines are split by box borders into segments with the same complex product.

• Note: The product of two complex numbers is (A+Bi)(C+Di) = (AC-BD)+(AD+BC)i