The Math And Logic Behind Sudoku

May 15, 2021

Without a doubt, Sudoku is one of the most popular and fun puzzle games around the world. It is very simple, addictive, and easy to play. So what is Sudoku, why is it so popular, and what is the math and logic behind this game? Well, read on to find out.

What is Sudoku?

Sudoku free is a simple puzzle game in which you are required to place numbers 1 to 9 in a 9X9 grid. To successfully play the Sudoku, the player is not supposed to repeat any number within the rows or columns. Sudoku puzzle game is a lot of fun with excellent gameplay, making it offer a great gaming experience.

If you are looking for a game that can tease your mind and keep your thinking skill in good shape, you should consider playing Sudoku. There are numerous reasons why millions of people prefer playing Sudoku over other types of puzzle games. Here are some of the reasons that have made Sudoku very popular:

1. This game improves concentration

If you want to solve a Sudoku puzzle, you must concentrate. This game requires logical thinking, so any kind of disruption can break the chain of thought and even force the player to start all over again. Of course, starting all over can be very annoying and frustrating. When you are playing Sudoku, you shouldn’t be distracted by anything around you. The more puzzles you play, the more you will increase your concentration level.

2. Sudoku can relieve stress and anxiety

Stress is part and parcel of human life. Some stress can be avoided, while others are unavoidable. Fortunately, there are a number of ways to manage stress. Other than meditating or doing yoga, you can also play Sudoku. This fun and interesting game can help relieve stress. When you are playing the Sudoku puzzle, you become fully immersed in the game for you to find the solution for each cell. When doing this, you will only focus on the game and you will forget about your source of stress, making you feel more relaxed.

3. It improves thinking skills

Thinking skills are critical in this day and age. It can help you resolve many issues in your life. However, unfortunately, sometimes, you may fail to think instantly. If you fall in this category, then it would be advisable to look for ways to improve your thinking skills. And you can achieve that by playing the Sudoku puzzle. That’s because this game engages you to think during the entire period you are playing it.

4. It is an affordable hobby

If you are looking for a healthy and affordable hobby to indulge in, then Sudoku is the ideal option. With this puzzle game, you are only required to have a logical mind to play it, something which everyone is gifted with. You can buy magazines, books, or newspapers with printed puzzles, which are usually not expensive. You can even find Sudoku free in the form of a mobile app the Google Playstore and Apple App Store. In addition to that, there are also plenty of free Sudoku games with varying difficulty levels online that you can try.

The math and logic behind Sudoku

Now that we have seen what Sudoku is and some of the top reasons why you should choose it over other types of puzzle games, let us now discuss the math and logic behind the Sudoku game. Sudoku puzzle, unlike most puzzle games, is based on mathematical structure and it requires some level of logic to solve it. More maths is generally involved behind the scenes, including group theory that is used to describe ideas of when two grids are equivalent, combinatorics used to count valid Sudoku grids, and computational complexity in terms of solving Sudoku.

Sudoku in its current form was invented in 1979 by an American named Howard Garns. It was published by Dell Magazines as “Numbers in Place.” In 1984, a Japanese publisher by the name Maki Kaji published the game in the magazine of his puzzle company Nikoli. He renamed it Sudoku, which is its modern name. Sudoku is a Japanese word that means “Single Numbers.”

It was until 2005 when Sudoku became very popular not only in the United States but across the globe too. It has become a regular feature in several magazines and newspapers and is enjoyed by players across the globe.

The standard version of Sudoku comprises a 9X9 square grid that contains a total of 81 cells. The grid is again sub-divided into nine 3X3 squares. Certain cells are filled in with numbers between 1 to 9. The filled-in cells are known as givens. The objective of the game is to fill in the entire grid using the nine numbers so that each column, each row, and each block contains just each number once. We call this constraint of the columns, rows, and blocks the One Rule.

There are generally two ways to solve a Sudoku puzzle. One way is to first write down, in each empty cell, all possible entries that won’t contradict the One Rule with respect to the cells given. If a cell ends up having just a single possible entry, it is a “forced” entry that the player should fill in.

Another strategy to solve the Sudoku puzzle is by picking a number and a column, row, or block. Note all the cells in the block, column, or row, where the number can be placed without breaching the One Rule. If the digit can be placed in one cell in the neighborhood, then the player should fill that cell in. Once they have done that, the chosen number can be done away from being a possibility for any other cell in the neighborhood.

Mathematically, a Sudoku puzzle is a work of art that has just one solution. What this means is that you may almost complete the puzzle only to realize that it is one cell that has turned out to be wrong. When this happens, you will have no choice but to start over in order to accurately place the numbers in the regions.


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