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    Mathematics of Sudoku and Magic Squares
    Mathematics of Sudoku and Magic Squares
    Mathematics of Sudoku and Magic Squares
    Ebook38 pages28 minutes

    Mathematics of Sudoku and Magic Squares

    By Charles Kelly

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    About this ebook

    The book explains the internal mathematical structure of magic squares and Sudoku puzzles. The book explains how to create four dimensional magic squares and how to transform them into traditional Sudoku puzzles.

    The book also explains how to create large Sudoku puzzles such as 25 by 25 puzzles, and 49 by 49 puzzles.

    LanguageEnglish
    PublisherCharles Kelly
    Release dateOct 13, 2011
    ISBN9781466084162
    Mathematics of Sudoku and Magic Squares

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      Book preview

      Mathematics of Sudoku and Magic Squares - Charles Kelly

      Mathematics of Sudoku and Magic Squares

      by Charles Kelly

      Copyright 2011, Charles Kelly

      Published by Charles Kelly at Smashwords

      Dedication

      This book is dedicated to Chris, Jim, Joe, Julie, and Ruth. You provided help when I needed it. I will always be grateful.

      Charlie

      License Notes

      This ebook is licensed for your personal enjoyment only. This ebook may not be re-sold or given away to other people. If you would like to share this book with another person, please purchase an additional copy for each recipient. If you’re reading this book and did not purchase it, or it was not purchased for your use only, then please return to Smashwords.com and purchase your own copy. Thank you for respecting the hard work of this author.

      Introduction

      This book will not explain how to solve Sudoku puzzles; it will explain how to create Sudoku puzzles. The distinction is interesting. Solving Sudoku puzzles involves recognizing patterns among numbers. Creating Sudoku puzzles involves understanding the structure of Sudoku mathematics, and transforming this structure into a puzzle.

      This book uses the terms standard Sudoku puzzle and newspaper Sudoku puzzle to describe the common puzzles that contain 81 numbers (9x9) and are found in newspapers and on the Internet. We will explain how to create non-standard Sudoku puzzles, for example puzzles that contain 625 numbers (25x25) and 2401 numbers (49x49).

      Background

      Before we begin exploring Sudoku puzzles, we'll explain some elementary mathematics: counting, exponentiation, number bases, and modulo arithmetic. Don't worry, these are easy to understand and we provide simple explanations.

      Counting

      Understanding counting is crucial for creating Sudoku puzzles. If

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