## Magic squares and cubesDescribes and analyzes various kinds of magic figures, explaining how to use algebraic methods to work out squares and how to apply the theory of reversions. |

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### Contents

Magic Squares By W S Andrews | 1 |

Magic Cubes By W S Andrews | 64 |

Chapter III The Franklin Squares By W S Andrews | 89 |

Copyright | |

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### Common terms and phrases

2-square 3X3 square 6X6 square 8X8 square arithmetical arithmetical sequence arithmetical series arranged associated magic square associated squares bers breakmove central cell circles complementary complete consecutive numbers constructed corner cells corner diagonal columns cubic diagonals diagrams eight numbers equal equations example figures four numbers Franklin Franklin square Fred Reinfeld functions geometrical given in Fig horizontal illustrations increments initial number Jaina knight's move knight's tour Konrad Knopp last number left-hand lines magic cube magic rectangle mathematics middle Nasik non-Euclidean geometry number of cells numbers in Fig octahedroid odd magic squares odd numbers pairs of numbers pandiagonal Paperbound parallel primary square problems produce properties regular result reversion right-hand root square rows and columns rule Section sequence series of numbers shown in Fig square in Fig square of order square shown subsquares summation symbols Tetractys theory tion Totals upper