New Recreations with Magic Squares
Author | : William H. Benson |
Publisher | : |
Total Pages | : 234 |
Release | : 1976 |
Genre | : Mathematics |
ISBN | : |
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Author | : William H. Benson |
Publisher | : |
Total Pages | : 234 |
Release | : 1976 |
Genre | : Mathematics |
ISBN | : |
Author | : Lee C. F. Sallows |
Publisher | : Courier Corporation |
Total Pages | : 146 |
Release | : 2013 |
Genre | : Games & Activities |
ISBN | : 0486489094 |
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 | : Frank Murphy |
Publisher | : Random House Books for Young Readers |
Total Pages | : 50 |
Release | : 2013-05-29 |
Genre | : Juvenile Nonfiction |
ISBN | : 0385374615 |
A funny, entertaining introduction to Ben Franklin and his many inventions, including the story of how he created the "magic square." A magic square is a box of nine numbers arranged so that any line of three numbers adds up to the same number, including on the diagonal! Teachers and kids will love finding out about this popular teaching tool that is still used in elementary schools today!
Author | : Morris Philip |
Publisher | : |
Total Pages | : 34 |
Release | : 1986 |
Genre | : Machine knitting |
ISBN | : |
Author | : Clifford A. Pickover |
Publisher | : Princeton University Press |
Total Pages | : 433 |
Release | : 2011-11-28 |
Genre | : Mathematics |
ISBN | : 1400841518 |
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 | : Paul Calter |
Publisher | : |
Total Pages | : 152 |
Release | : 1977 |
Genre | : Computer programming |
ISBN | : |
Author | : William H. Benson |
Publisher | : Courier Corporation |
Total Pages | : 164 |
Release | : 1981 |
Genre | : Games & Activities |
ISBN | : 9780486241401 |
No advanced mathematical knowledge to construct these three-dimensional mind bogglers; including pandiagonal and perfect cubes ? many entirely new constructions, too. 111 figures.
Author | : Albert H. Beiler |
Publisher | : Courier Corporation |
Total Pages | : 383 |
Release | : 1964-01-01 |
Genre | : Games & Activities |
ISBN | : 0486210960 |
Number theory proves to be a virtually inexhaustible source of intriguing puzzle problems. Includes divisors, perfect numbers, the congruences of Gauss, scales of notation, the Pell equation, more. Solutions to all problems.