Prime Magic Square Puzzles

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Author :
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.

Geometric Magic Squares

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486290026
Total Pages : 146 pages
Book Rating : 4.4/5 (862 download)

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Book Synopsis Geometric Magic Squares by : Lee C.F. Sallows

Download or read book Geometric Magic Squares written by Lee C.F. Sallows and published by Courier Corporation. This book was released on 2013-10-03 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Magic Squares

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Publisher : CreateSpace
ISBN 13 : 9781515087809
Total Pages : 60 pages
Book Rating : 4.0/5 (878 download)

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Book Synopsis Magic Squares by : Clarity Media

Download or read book Magic Squares written by Clarity Media and published by CreateSpace. This book was released on 2015-07-15 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: Welcome to this fantastic collection of 100 magic square puzzles! Looking for a brain-teasing challenge? Look no further! Magic squares provide two key pieces of information for every puzzle; the sum of the numbers in each row, column and the two diagonals, and secondly the range of numbers that will feature, so 15-30 for example. With this information, you must completely fill the grid using the numbers already given in place. Can you complete all 100? If you get a little stuck along the way, solutions are featured towards the back of the book so take a peek there! All of our puzzle books are printed on very high quality paper, perfect for notes and scribbles! For other puzzle books, visit us at www.puzzle-book.co.uk

Before Sudoku

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Author :
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Before Sudoku by : Seymour S. Block

Download or read book Before Sudoku written by Seymour S. Block and published by Oxford University Press, USA. This book was released on 2009 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fans of sudoku may not know that the game is a recent offshoot of the venerable Magic Square, which dates back more than 4,000 years to ancient China. This book provides a delightful account of the mind-boggling variety possible with magical squares.

Magic Square Puzzles

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Publisher : Vintage
ISBN 13 : 9780584110685
Total Pages : 170 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Magic Square Puzzles by : David King

Download or read book Magic Square Puzzles written by David King and published by Vintage. This book was released on 1984-01-01 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric Magic Squares

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Publisher : Courier Corporation
ISBN 13 : 0486489094
Total Pages : 146 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Geometric Magic Squares by : Lee C. F. Sallows

Download or read book Geometric Magic Squares written by Lee C. F. Sallows and published by Courier Corporation. This book was released on 2013 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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:

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.

Mathematics, Magic and Mystery

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Publisher : Courier Corporation
ISBN 13 : 0486801179
Total Pages : 209 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Mathematics, Magic and Mystery by : Martin Gardner

Download or read book Mathematics, Magic and Mystery written by Martin Gardner and published by Courier Corporation. This book was released on 2014-12-02 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Famed puzzle expert explains math behind a multitude of mystifying tricks: card tricks, stage "mind reading," coin and match tricks, counting out games, geometric dissections, etc. More than 400 tricks. 135 illustrations.

The Call of the Primes

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Publisher : Prometheus Books
ISBN 13 : 1633881482
Total Pages : 332 pages
Book Rating : 4.6/5 (338 download)

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Book Synopsis The Call of the Primes by : Owen O'Shea

Download or read book The Call of the Primes written by Owen O'Shea and published by Prometheus Books. This book was released on 2016 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This sampler of entertaining mathematical diversions reveals the elegance and extraordinary usefulness of mathematics for readers who think they have no aptitude for the subject. If you like any kind of game at all, you'll enjoy the amazing mathematical puzzles and patterns presented here in straightforward terms that any layperson can understand. From magic squares and the mysterious qualities of prime numbers to Pythagorean triples, probability theory, the Fibonacci sequence, and more, the author shows that math can be fun while having some profound implications. Such ubiquitous mathematical entities as pi and the Fibonacci numbers are found throughout the natural world and are also the foundation of our technological civilization. By exploring the intriguing games presented here, you'll come away with a greater appreciation for the beauty and importance of these and many more math concepts. This is the perfect book for people who were turned off by math in school but now as adults wonder what they may have missed.

3084 Magic Squares 7x7

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Publisher :
ISBN 13 : 9781453606247
Total Pages : 518 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis 3084 Magic Squares 7x7 by : Gregory Zorzos

Download or read book 3084 Magic Squares 7x7 written by Gregory Zorzos and published by . This book was released on 2010-06-04 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is a Magic Square puzzle?There are 3,084 Magic Square puzzles in this book each one consist of 49 rectangles built as a 7x7 rectangle shape and you must find the correct missing numbers. For your help the sum of the Magic Square is given.The first volume has all 3,084 unsolved Magic Squares and the second volume has all 3,084 solutions of them.

Ben Franklin and the Magic Squares

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Author :
Publisher : Random House Books for Young Readers
ISBN 13 : 0385374615
Total Pages : 50 pages
Book Rating : 4.3/5 (853 download)

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Book Synopsis Ben Franklin and the Magic Squares by : Frank Murphy

Download or read book Ben Franklin and the Magic Squares written by Frank Murphy and published by Random House Books for Young Readers. This book was released on 2013-05-29 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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!

M2s (Magic Square Sudoku) Puzzle

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Publisher : iUniverse
ISBN 13 : 1663231427
Total Pages : 142 pages
Book Rating : 4.6/5 (632 download)

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Book Synopsis M2s (Magic Square Sudoku) Puzzle by : Steven C. Benton

Download or read book M2s (Magic Square Sudoku) Puzzle written by Steven C. Benton and published by iUniverse. This book was released on 2021-11-17 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: M2S is a puzzle which incorporates 3x3 magic squares into a Sudoku matrix. It is a puzzle inside a puzzle. Magic squares are a 3x3 matrix where the sum of the rows, columns and main diagonals all add up to the same number. In the case of a 3x3 matrix, the sum of the number is 15. In Sudoku, where the rows and columns contain the numbers 1-9, the cells in the magic square matrix can be used as clues to aid in solving the larger Sudoku puzzle.

Summer Magic Square Puzzles

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Publisher :
ISBN 13 :
Total Pages : 106 pages
Book Rating : 4.6/5 (548 download)

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Book Synopsis Summer Magic Square Puzzles by : Andy Lawell

Download or read book Summer Magic Square Puzzles written by Andy Lawell and published by . This book was released on 2020-06-17 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: Magic Square Puzzles Magic squares are one of the simplest forms of logic puzzles, and a great introduction to problem solving techniques beyond traditional arithmetic algorithms. Each square is divided into cells, and the rules require that the sum of any row, column or diagonal in the square be the same. Given a magic square with empty cells, your job is to solve the puzzle by supplying the missing numbers

Magic Squares

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Publisher :
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Magic Squares by : Paul Calter

Download or read book Magic Squares written by Paul Calter and published by . This book was released on 1977 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Solving Magic Squares

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Publisher : AuthorHouse
ISBN 13 : 0759604282
Total Pages : 117 pages
Book Rating : 4.7/5 (596 download)

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Book Synopsis Solving Magic Squares by : Donald C. Simpson

Download or read book Solving Magic Squares written by Donald C. Simpson and published by AuthorHouse. This book was released on 2001-03-12 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: A TIME TO GATHER STONES is a companion book to the author's earlier novel, ONE MAN'S WAR. The latter was the story of a young man caught up in The Great War of 1918. This is a continuation of his life, but told from the eyes of the sweetheart who wrote him so faithfully and became his wife. It is basically an account of a young woman faced with a widening world . The 1920's and 1930's change the role of women forever, and Lindy Jones moved with it. A person of inner strenghth amd a fierce determination she took up her role as a small-town wife and mother, a support to her husband and his career as a newspaper publisher and a leader among her peers. When her life reaches a time of crisis at the end, she meets the challenge head-on.

Unsolved Problems in Number Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1475717385
Total Pages : 176 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Unsolved Problems in Number Theory by : Richard Guy

Download or read book Unsolved Problems in Number Theory written by Richard Guy and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second edition sold 2241 copies in N.A. and 1600 ROW. New edition contains 50 percent new material.