Klein Bottle Magic Square Puzzle
(Published on 5. August 2020, 02:58 by cam)
I am making this puzzle for my friend James. It's his birthday! This is the first in a series of puzzles that are played on a Klein Bottle. This is a little bit of an introduction to the concept, but be on the lookout for some really cool variants to come. If you like this idea, please let me know.
Ordinary sudoku rules apply. In addition, colored squares are the centers of 3x3 magic squares. A magic square is a box that contains the numbers 1 through 9 exactly once and where the rows, columns, and main diagonals all sum to the same number. This puzzle also takes place on a klein bottle. The top and bottom of the grid are glued together--they obey periodic boundary conditions (see the example on the left). The left and right side are twisted and then glued together (see the right side). Let me know if anything is unclear in the comments :)
Here is the puzzle. Enjoy! :)
Solution code: Row 2 followed by column 4
Comments
on 6. August 2020, 13:57 by SudokuExplorer
@Voyager Thanks for the link, I will save that puzzle for the weekend :-) I think I should use the search function more often.
on 6. August 2020, 09:34 by Voyager
@SudokuExplorer: As far as I know the first sudoku on a Klein bottle in this portal was from Realshaggy - see ID = 1R1.
on 6. August 2020, 07:06 by Jinbesaur
Took me a while to wrap my head around the concept of the Klein Bottle, but everything went easily after that. Very cool concept.
on 5. August 2020, 15:01 by SudokuExplorer
@cam Very nice and fairly easy puzzle. After a few sudokus on the torus, I was waiting for someone to post a klein bottle sudoku. Thanks for making this one! :-)
on 5. August 2020, 04:44 by panthchesh
That was so fun and easy for me! I must think in terms of a Klein Bottle!!! :D
on 5. August 2020, 03:29 by cam
The magic squares contain the numbers 1 through 9 exactly once
