Geometric Magic Squares PDF Download
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Author: Lee C. F. Sallows
Publisher: Courier Corporation
ISBN: 0486489094
Category : Games & Activities
Languages : en
Pages : 146
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Book Description
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: Lee C.F. Sallows
Publisher: Courier Corporation
ISBN: 0486290026
Category : Mathematics
Languages : en
Pages : 146
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Book Description
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
ISBN: 0486489094
Category : Games & Activities
Languages : en
Pages : 146
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Book Description
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: William Symes Andrews
Publisher:
ISBN:
Category : Magic cubes
Languages : en
Pages : 440
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Book Description
Author: Clifford A. Pickover
Publisher: Princeton University Press
ISBN: 1400841518
Category : Mathematics
Languages : en
Pages : 433
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Book Description
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: Jain
Publisher: Jain 108
ISBN: 9780959418026
Category : Mathematics
Languages : en
Pages : 0
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Book Description
As distinct pattern has been found in the apparently infinite, non-recurring decimal of phi, the Living Mathematics of Nature and Biology, the place where the elbow bends in relationship to the whole of the arm. Like Pi, the relationship of the Circle's circumference to its Diameter, mathematicians, for thousands of years, have been obsessed in finding internal patterning in these transcendental numbers. By stepping "In the Next Dimension" Jain has successfully cracked the Phi Code by isolating a recurring pattern that has a distinct periodicity of 24 digits that re-align as 12 Pairs of 9, but it is not vidible nor understandable in Western Maths, online in the Eastern Vedic Mathematics. The latter utilizes a special Sutra or Formula that Digitally Compresses multi-digits to single digits. It also is known as Modulus 9 Maths which is Continued Subtraction of 9 and is the key to the revealed Wheels of 24 that are StarGates. His discover and concept is officially known as the 17th sutra, (a follow on from the incomplete set of 16 tradition vedic mathematics formulae."In The Next Dimension" invites you to view a 2-D circle as a 3D sphere or as a 4D sphere which is a torus doughnut shape. Shape stores Memory, like crystals. The ultimate shape that embodies the Phi Code is the Dodecahedron having 12 pentacle faces, it being the 3D form of the 2D Pentacle. Jain is petitioning for the reintroduction of the Base 12 number system as your original identification and resonance with the measurements of sacred sites like the Pyramids of Egypt and Stonehenge. The Phi Code 108 therefore relates to the 24 edges of the Cuboctahedron: The 12 Spheres Around The Central One.Discover the sequence of Magic Square Constants hidden or encoded in the Tetrahedral Number Series.Jain reveals an original mathematical discover: a better way to define "e" another infinite non-recurring number like Pi and Phi that is the formula for the number of growth and decay in human or bacterial populations.Even if you don't read this book and merely look at the diagrams on almost every page, you will be inspired. Jain believes, through the highly visual content of this material. Any child or adult will be triggered to remember the essential truths captured in the Universal Language of Pictures, Shapes, Numbers and Symbols.
Author: Nwachukwu Emeka Ernest
Publisher:
ISBN:
Category : Magic squares
Languages : en
Pages : 98
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Book Description
Author: William H. Benson
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 234
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Book Description
Author: William Symes Andrews
Publisher: Cosimo, Inc.
ISBN: 1596050373
Category : Body, Mind & Spirit
Languages : en
Pages : 433
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Book Description
A magic square consists of a series of numbers so arranged in a square that the sum of each row and column and of both the corner diagonals shall be the same amount which may be termed the summation. In "Magic Squares and Cubes" W.S. Andrews writes "The study of magic squares probably dates back to prehistoric times. Examples have been found in Chinese literature written about AD 1125 which were evidently copied from still older documents. It is recorded that as early as the ninth century magic squares were used by Arabian astrologers in their calculations of horoscopes, etc. Hence, the probable origin of the term magic, which has survived to the present day." Topics such as magic squares, magic cubes, the Franklin squares, magics and Pythagorean numbers, the theory of reversions, magic circles, spheres, and stars, and magic octahedroids, among other things.
Author: Jacques Sesiano
Publisher: Springer
ISBN: 3030179931
Category : Mathematics
Languages : en
Pages : 313
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Book Description
The science of magic squares witnessed an important development in the Islamic world during the Middle Ages, with a great variety of construction methods being created and ameliorated. The initial step was the translation, in the ninth century, of an anonymous Greek text containing the description of certain highly developed arrangements, no doubt the culmination of ancient research on magic squares.
Author: Donald C. Simpson
Publisher: AuthorHouse
ISBN: 0759604282
Category : Magic squares
Languages : en
Pages : 117
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Book Description
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.
