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Magic Squares By W S Andrews
Magic Cubes By W S Andrews
Chapter III The Franklin Squares By W S Andrews
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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