Study of the mathematics behind Sudoku 4x4

Books about Sudoku

Study of the mathematics behind Sudoku 4x4

Postby Maq777 » Sat Mar 20, 2021 3:29 pm

Greetings

Study of the mathematics behind Sudoku 4x4

https://www.amazon.com/Agotando-Sudoku-Spanish-Miguel-Quinteiro-ebook/dp/B087NT2881

Sudoku at first catches you and after a while it bores you. Have you ever wondered why? Could it be that we settle for filling in the boxes without appreciating the reasons why the game works? Without detracting from its value as an occupational therapy and energizing balm for neurons, Sudoku is a delicate filigree, a fine lace that reveals the almost infinite variability of a small group of numbers in a limited space.

The amount of sudoku problems is much greater than intuition predicts. It is so big that in normal Sudoku no one knows it and it cannot be calculated for now.

On the small board, with few and small numbers of 4x4 Sudoku, few combinations and fun are foreshadowed; It is surprising that this is not the case, especially when there are no accounts to perform and it is only a matter of placing 1, 2, 3 and 4 in the correct boxes. Why is this mistake made? It is one of the things that is elucidated here. It is taken for granted that there is a finite integer number of problems but there is no simple formula to obtain it and that allows us to find by extension the same total in normal or larger sudoku puzzles.

If the formula is not achieved, you have to think that not all the factors at play are being considered. The eclectic search for hidden mechanisms and factors is the motive and content of this work. The simple rules favor the immediate acceptance of the game, but also allow multiple transformations of the board and problems with the consequent anarchic growth of the possible.

Exhausting sudoku 4x4 is a full color publication that can be viewed preferably on tablet-type devices that explores this set of transformations from different approaches, while trying to systematize concepts and language to express them, following as far as possible a logical order of thematic priority.

The mathematics involved is elementary, arithmetic almost entirely. The structural scaffolding of this first and very basic regular sudoku game is conducive to assimilating the fundamental principles that govern the infinite succession of sudokus n2 x n2 with n equal to or greater than 2.
Maq777
 
Posts: 48
Joined: 30 April 2016

Re: Study of the mathematics behind Sudoku 4x4

Postby Maq777 » Tue Mar 23, 2021 7:27 pm

Over here the cover of the book.

https://github.com/MiguelQuinteiro/ImagenesSudoku/blob/master/PortadaLibro.jpg

Unfortunately it is in Spanish language, although it is full of images that speak for themselves. In addition to many accounts and tables.

Best Regards
Maq777
 
Posts: 48
Joined: 30 April 2016


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