Song and Dance
(Published on 7. February 2026, 19:52 by MathGuy_12)
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
Solution code: Digits of the real part of row 4 followed by the digits of the imaginary part of row 4, both left to right
Last changed on on 7. February 2026, 20:01
Solved by aqjhs, ChinStrap, pep9, SKORP17, zeniko, emoney1374, Piff, Andrewsarchus, Prof.Dori, Scojo, karlmortenlunna, lmdemasi, Nell Gwyn, kodra22, Laeri, ThePedallingPianist, raaaaa, ImpasseduPelican, booteskey, Isael
Comments
on 18. February 2026, 18:38 by Prof.Dori
As a mathematician this was very nice puzzle, I wish I could set it myself.
on 7. February 2026, 22:57 by zeniko
Very clever. Thanks for sharing.
