The reason as to why so many people are so fascinated by a Sudoku puzzle is that, even though the solving rules are simple, the reasoning behind the path to the correct solution can be very difficult, which is what will be explored in this paper.
Many teachers, no matter what age range they are teaching, recommend Sudoku as a great way to develop logical reasoning. The complexity of each puzzle can be adapted to fit any age. This is why I want to explore and investigate what is the concept behind solving the puzzles that makes it so fascinating and addictive.
Introduction
Sudoku has been most famously been called the Rubik’s Cube of the 21st Century. Sudoku is a popular and addictive game puzzle that is currently taking many parts of the world by storm.
The fundamental origins of Sudoku lie within the work of the great 17th century Swiss mathematician Leonard Euler who, in 1783, reported on the idea of ‘Latin Squares’: grids of equal dimensions in which every symbol occurs exactly once in every row and every column.
The Sudoku puzzle first appeared in an American puzzle magazine under the name ‘Number Place’. Later, the game also appeared in Japanese puzzle magazines where it took its present name ‘Sudoku’. At present in Japan there are five Sudoku magazines that are published every month, with a total spread of over 600,000. Sudoku puzzles are now found in newspapers all over the world. This is exactly one reason why it makes me want to explore the mathematical concepts related to Sudoku. People from all around the world use different methods to solve a Sudoku and this piece of work would include primary data of different people solving it through different logical reasoning.
How to solve Sudoku
A Sudoku puzzle ...
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... of the cells.
It is then that some solvers resort to “trial and error”, i.e., they make a presumption as to the contents of an uncertain cell, and then work out the implications for the remaining cells.
If the guess is wrong, an invalid grid will be produced, and the solver must return to the earlier state and make a different guess and in this way it is very time consuming.
Which is why I would like to conclude saying that the algebraic and mathematical approach could provide a linear system of equations in several variables of Sudoku puzzles that could be solved simultaneously to achieve the single solution directly, assuming there is a sole solution
Works Cited
http://www.pennydellpuzzles.com/upload/documents/How%20to%20Solve%20Sudoku.pdf
http://sudokusource.mabuhaynet.com/sudoku.pdf
http://www.inf.utfsm.cl/~mcriff/Tesistas/Games/sudoku.pdf
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Problem solving is the process of following a series of steps to obtain the solution
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time of thinking of how to have solution by observing the problems. The problem that we’re trying to
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locate the information that is required for an given problem. They also found that the
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Repeat this process until the difference between the next guess and the current is within the accepted level of accuracy. The better your guess, the fewer the number of iterations needed to get the square root. A good first guess is typically half the number whose square root is to be calculated. The process is ten repeated until the desired accuracy is achieved.
Burton, D. (2011). The History of Mathematics: An Introduction. (Seventh Ed.) New York, NY. McGraw-Hill Companies, Inc.
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