Author: Lee C.F. Sallows
Publisher: Courier Corporation
Published: 2013-10-03
Total Pages: 160
ISBN-13: 0486290026
DOWNLOAD EBOOK →This innovative work replaces magic square numbers with two-dimensional forms. The result is a revelation that traditional magic squares are now better seen as the one-dimensional instance of this self-same geometrical activity.
Author: Lee C. F. Sallows
Publisher: Courier Corporation
Published: 2013
Total Pages: 146
ISBN-13: 0486489094
DOWNLOAD EBOOK →Traditional magic squares employ a chessboard-like arrangement of numbers in which the total of all rows, columns, and diagonals add up to the same number. This innovative approach by a Dutch engineer challenges puzzlists to think two dimensionally by replacing numbers with colorful geometric shapes. Dozens of creative puzzles, suitable for ages 12 and up.
Author: Clifford A. Pickover
Publisher: Princeton University Press
Published: 2011-11-28
Total Pages: 433
ISBN-13: 1400841518
DOWNLOAD EBOOK →Humanity's love affair with mathematics and mysticism reached a critical juncture, legend has it, on the back of a turtle in ancient China. As Clifford Pickover briefly recounts in this enthralling book, the most comprehensive in decades on magic squares, Emperor Yu was supposedly strolling along the Yellow River one day around 2200 B.C. when he spotted the creature: its shell had a series of dots within squares. To Yu's amazement, each row of squares contained fifteen dots, as did the columns and diagonals. When he added any two cells opposite along a line through the center square, like 2 and 8, he always arrived at 10. The turtle, unwitting inspirer of the ''Yu'' square, went on to a life of courtly comfort and fame. Pickover explains why Chinese emperors, Babylonian astrologer-priests, prehistoric cave people in France, and ancient Mayans of the Yucatan were convinced that magic squares--arrays filled with numbers or letters in certain arrangements--held the secret of the universe. Since the dawn of civilization, he writes, humans have invoked such patterns to ward off evil and bring good fortune. Yet who would have guessed that in the twenty-first century, mathematicians would be studying magic squares so immense and in so many dimensions that the objects defy ordinary human contemplation and visualization? Readers are treated to a colorful history of magic squares and similar structures, their construction, and classification along with a remarkable variety of newly discovered objects ranging from ornate inlaid magic cubes to hypercubes. Illustrated examples occur throughout, with some patterns from the author's own experiments. The tesseracts, circles, spheres, and stars that he presents perfectly convey the age-old devotion of the math-minded to this Zenlike quest. Number lovers, puzzle aficionados, and math enthusiasts will treasure this rich and lively encyclopedia of one of the few areas of mathematics where the contributions of even nonspecialists count.
Author: William H. Benson
Publisher: Courier Corporation
Published: 1981
Total Pages: 164
ISBN-13: 9780486241401
DOWNLOAD EBOOK →No advanced mathematical knowledge to construct these three-dimensional mind bogglers; including pandiagonal and perfect cubes ? many entirely new constructions, too. 111 figures.
Author: M K Joseph
Publisher: Universities Press
Published:
Total Pages: 434
ISBN-13: 9788173714665
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