Most-perfect Pandiagonal Magic Squares

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Publisher :
ISBN 13 :
Total Pages : 188 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Most-perfect Pandiagonal Magic Squares by : Kathleen Ollerenshaw

Download or read book Most-perfect Pandiagonal Magic Squares written by Kathleen Ollerenshaw and published by . This book was released on 1998 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Zen Of Magic Squares,Circles And Stars

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Publisher : Universities Press
ISBN 13 : 9788173714665
Total Pages : 434 pages
Book Rating : 4.7/5 (146 download)

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Book Synopsis The Zen Of Magic Squares,Circles And Stars by : M K Joseph

Download or read book The Zen Of Magic Squares,Circles And Stars written by M K Joseph and published by Universities Press. This book was released on with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Zen of Magic Squares, Circles, and Stars

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Publisher : Princeton University Press
ISBN 13 : 1400841518
Total Pages : 433 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis The Zen of Magic Squares, Circles, and Stars by : Clifford A. Pickover

Download or read book The Zen of Magic Squares, Circles, and Stars written by Clifford A. Pickover and published by Princeton University Press. This book was released on 2011-11-28 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Magic Squares

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Publisher : University-Press.org
ISBN 13 : 9781230496481
Total Pages : 52 pages
Book Rating : 4.4/5 (964 download)

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Book Synopsis Magic Squares by : Source Wikipedia

Download or read book Magic Squares written by Source Wikipedia and published by University-Press.org. This book was released on 2013-09 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 44. Chapters: Ahmad al-Buni, Alphamagic square, Antimagic square, Arthur Cayley, Associative magic square, Bernard Frenicle de Bessy, Broken diagonal, Broken space diagonal, Claude Gaspard Bachet de Meziriac, Conway's LUX method for magic squares, D. R. Kaprekar, Diagonal magic cube, Frenicle standard form, Heterosquare, John Horton Conway, John R. Hendricks, Lee Sallows, Lo Shu Square, Luca Pacioli, Magic constant, Magic cube classes, Magic hexagon, Magic hyperbeam, Magic hypercube, Magic series, Magic star, Magic tesseract, Manuel Moschopoulos, Most-perfect magic square, Multimagic cube, Multimagic square, Mystic square, Nasik magic hypercube, Pandiagonal magic cube, Pandiagonal magic square, Pantriagonal magic cube, Perfect magic cube, Philippe de La Hire, Prime reciprocal magic square, Richard Schroeppel, Semiperfect magic cube, Siamese method, Simon de la Loubere, Simple magic cube, Simple magic square, Strachey method for magic squares, W. W. Rouse Ball, Water retention on mathematical surfaces, Yang Hui.

The Wonders of Magic Squares

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Author :
Publisher : Vintage Books USA
ISBN 13 :
Total Pages : 286 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis The Wonders of Magic Squares by : Jim Moran

Download or read book The Wonders of Magic Squares written by Jim Moran and published by Vintage Books USA. This book was released on 1982 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Supplement to Pandiagonal Magic Squares of Prime Order

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Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.3/5 ( download)

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Book Synopsis Supplement to Pandiagonal Magic Squares of Prime Order by : Albert Luther Candy

Download or read book Supplement to Pandiagonal Magic Squares of Prime Order written by Albert Luther Candy and published by . This book was released on 1942 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Counting pandiagonal magic squares

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Publisher :
ISBN 13 :
Total Pages : 77 pages
Book Rating : 4.:/5 (268 download)

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Book Synopsis Counting pandiagonal magic squares by : Joshua Louis Levenberg

Download or read book Counting pandiagonal magic squares written by Joshua Louis Levenberg and published by . This book was released on 1994 with total page 77 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Pan Magical Squares

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Publisher :
ISBN 13 : 9781478354130
Total Pages : 46 pages
Book Rating : 4.3/5 (541 download)

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Book Synopsis Pan Magical Squares by : Gregory Zorzos

Download or read book Pan Magical Squares written by Gregory Zorzos and published by . This book was released on 2012-08-03 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: These Pan Magic Square puzzles in this book consists of 25 rectangles built as a 5x5 rectangle shape. A panmagic square, pandiagonal magic square, diabolic square, diabolical square or diabolical magic square is a magic square with the additional property that the broken diagonals, i.e. the diagonals that wrap round at the edges of the square, also add up to the magic constant.

Pandiagonal Magic Squares of Prime Order

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Publisher :
ISBN 13 :
Total Pages : 40 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Pandiagonal Magic Squares of Prime Order by : Albert Luther Candy

Download or read book Pandiagonal Magic Squares of Prime Order written by Albert Luther Candy and published by . This book was released on 1942 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:

New Recreations with Magic Squares

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Publisher :
ISBN 13 :
Total Pages : 234 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis New Recreations with Magic Squares by : William H. Benson

Download or read book New Recreations with Magic Squares written by William H. Benson and published by . This book was released on 1976 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:

To Talk of Many Things

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Publisher : Manchester University Press
ISBN 13 : 9780719069871
Total Pages : 324 pages
Book Rating : 4.0/5 (698 download)

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Book Synopsis To Talk of Many Things by : Dame Kathleen Ollerenshaw

Download or read book To Talk of Many Things written by Dame Kathleen Ollerenshaw and published by Manchester University Press. This book was released on 2004-10-29 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: A remarkable account of the life of Dame Kathleen Ollerenshaw, former Lord Mayor, Freeman of the City of Manchester, and President of the Insitute of Mathematics.

Prime Magic Square Puzzles

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Publisher : CreateSpace
ISBN 13 : 9781516949489
Total Pages : 76 pages
Book Rating : 4.9/5 (494 download)

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Book Synopsis Prime Magic Square Puzzles by : Kermit Rose

Download or read book Prime Magic Square Puzzles written by Kermit Rose and published by CreateSpace. This book was released on 2015-08-28 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: The puzzles in this book are based on 5 by 5 pandiagonal magic squares. A pandiagonal magic square has 20 sums to the same number. Each row, each column, each of 5 downward diagonals, and each of 5 upward diagonals sum to the same number, called the magic sum. The four following charts show the 5 rows, the 5 columns, the 5 downward diagonals, and the 5 upward diagonals.The rows, columns, and diagonals will be illustrated using the following magic square. Incidentally, all entries in this magic square are prime integers. 5 103 16067 19 1493 17 1489 17 101 16063 113 16061 13 1487 13 1483 11 109 16073 1116069 23 1481 7 107The 5 rows: 1 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 5The top row sum is 5 + 103 + 16067+19 + 1493 = 17687.The second row sum is 17 + 1489 + 17 + 101 + 16063 = 17687.The third row sum is 113 + 16061 + 13 + 1487 + 13 = 17687.The fourth row sum is 1483 + 11 + 109 + 16073 + 11 = 17687.The fifth row sum is 16069 + 23 + 1481 + 7 + 107 = 17687. 5 103 16067 19 1493 17 1489 17 101 16063 113 16061 13 1487 13 1483 11 109 16073 11 16069 23 1481 7 107The 5 columns:1 2 3 4 51 2 3 4 51 2 3 4 51 2 3 4 51 2 3 4 5The first column sum is 5 + 17 + 113 + 1483 + 16069 = 17687.The second column sum is 103 + 1489 + 16061 + 11 + 23 = 17687.The third column sum is 16067 + 17 + 13 + 109 + 1481 = 17687.The fourth column sum is 19 + 101 + 1487 + 16073 + 7 = 17687.The fifth column sum is 1493 + 16063 + 13 + 11 + 107 = 17687. Four of the downward diagonals and four of the upward diagonals are broken diagonals.They wrap around the edges of the square as shown in the following two diagrams. 5 103 16067 19 1493 17 1489 17 101 16063 113 16061 13 1487 13 1483 11 109 16073 1116069 23 1481 7 107The 5 downward diagonals1 2 3 4 55 1 2 3 44 5 1 2 33 4 5 1 22 3 4 5 1The first downward diagonal sum is 5 + 1489 + 13 + 16073 + 107 = 17687.The second downward diagonal sum is 103 + 17 + 1487 + 11 + 16069 = 17687.The third downward diagonal sum is 16067 + 101 + 13 + 1483 + 23 = 17687.The fourth downward diagonal sum is 19 + 16063 + 113 + 11 + 1481 = 17687.The fifth downward diagonal sum is 1493 + 17 + 16061 + 109 + 7. 5 103 16067 19 1493 17 1489 17 101 16063 113 16061 13 1487 13 1483 11 109 16073 11 16069 23 1481 7 107The 5 upward diagonals5 4 3 2 14 3 2 1 53 2 1 5 42 1 5 4 31 5 4 3 2The first upward diagonal sum is 16069 + 11 + 13 + 101 + 1493 = 17687.The second upward diagonal sum is 1483 + 16061 + 17 + 19 + 107 = 17687.The third upward diagonal sum is 113 + 1489 + 16067 + 19 + 1493 = 17687.The fourth upward diagonal sum is 17 + 103 + 1481 + 16073 + 13 = 17687.The fifth upward diagonal sum is 5 + 23 + 109 + 1487 + 16063 = 17687.Each puzzle has from 10 to 15 of the solution entries marked out. Your task is to fill in the marked out numbers to recreate the magic square that has only prime number entries.

A Gardner's Workout

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Publisher : CRC Press
ISBN 13 : 1439864098
Total Pages : 319 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis A Gardner's Workout by : Martin Gardner

Download or read book A Gardner's Workout written by Martin Gardner and published by CRC Press. This book was released on 2001-07-18 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: For many decades, Martin Gardner, the Grand Master of mathematical puzzles, has provided the tools and projects to furnish our all-too-sluggish minds with an athletic workout. Gardner's problems foster an agility of the mind as they entertain. This volume presents a new collection of problems and puzzles not previously published in book form. Marti

The Kingdom of Infinite Number

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Publisher : Macmillan
ISBN 13 : 9780716744474
Total Pages : 414 pages
Book Rating : 4.7/5 (444 download)

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Book Synopsis The Kingdom of Infinite Number by : Bryan Bunch

Download or read book The Kingdom of Infinite Number written by Bryan Bunch and published by Macmillan. This book was released on 2001-09-15 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to numbers, suggesting ways of looking at individual numbers and their unique properties.

Magic Squares and Cubes

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Publisher :
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Magic Squares and Cubes by : William Symes Andrews

Download or read book Magic Squares and Cubes written by William Symes Andrews and published by . This book was released on 1917 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Combinatorics: Ancient & Modern

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Publisher :
ISBN 13 : 0199656592
Total Pages : 392 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis Combinatorics: Ancient & Modern by : Robin Wilson

Download or read book Combinatorics: Ancient & Modern written by Robin Wilson and published by . This book was released on 2013-06-27 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics is the branch of discrete mathematics that studies (and counts) permutations, combinations, and arrangements of sets of elements. This book constitutes the first book-length survey of the history of combinatorics and uniquely assembles research in the area that would otherwise be inaccessible to the general reader.

Magic Cubes

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Publisher : Courier Corporation
ISBN 13 : 9780486241401
Total Pages : 164 pages
Book Rating : 4.2/5 (414 download)

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Book Synopsis Magic Cubes by : William H. Benson

Download or read book Magic Cubes written by William H. Benson and published by Courier Corporation. This book was released on 1981 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: No advanced mathematical knowledge to construct these three-dimensional mind bogglers; including pandiagonal and perfect cubes ? many entirely new constructions, too. 111 figures.