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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.
“With its diverse selection of fabrics and designs, A Quilting Life is a fine pick for any quilter looking to produce family-oriented keepsake results.” —The Needlecraft Shelf Bring the handmade tradition home with these charming quilts and home accessories. Inspired by a grandmother who loved to sew for her family, quilter and blogger Sherri McConnell gives traditional patterns like hexagons, stars, snowballs, and Dresden Plates a new look featuring fabrics by some of today’s most popular designers. Nineteen cozy projects include pillows, tote bags, table runners, and larger quilts—quick and easy designs that make great gifts. “Sherri’s book is a treasure! It’s full of fun and straight-forward patterns for quilts, table toppers, pillows, bags and more—all the goodies to make a cozy home.” —Thimbleanna “Would you like the opportunity to make tomorrow’s heirlooms in today’s vast selection of prints? . . . If so, this could be the reference book that will get you started. There are 19 projects, mainly focusing on handmade household items but including some larger quilts too.” —Fabrications Quilting for You “Beautiful inspiration if you are a seasoned quilter, but also a great resource with clear and in some cases, simple patterns for newbies as well.” —Diary of a Quilter “Color photos of finished needlework projects accompany step-by-step diagrams and assembly patterns, while at-a-glance sidebars covering materials and cutting allow needleworkers to gauge the complexity of each project.” —The Needlecraft Shelf
Mathematics Across Cultures: A History of Non-Western Mathematics consists of essays dealing with the mathematical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying Islamic, Chinese, Native American, Aboriginal Australian, Inca, Egyptian, and African mathematics, among others, the book includes essays on Rationality, Logic and Mathematics, and the transfer of knowledge from East to West. The essays address the connections between science and culture and relate the mathematical practices to the cultures which produced them. Each essay is well illustrated and contains an extensive bibliography. Because the geographic range is global, the book fills a gap in both the history of science and in cultural studies. It should find a place on the bookshelves of advanced undergraduate students, graduate students, and scholars, as well as in libraries serving those groups.
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.
This volume contains the texts and translations of two Arabic treatises on magic squares, which are undoubtedly the most important testimonies on the early history of that science. It is divided into the three parts: the first and most extensive is on tenth-century construction methods, the second is the translations of the texts, and the third contains the original Arabic texts, which date back to the tenth century.
Includes elementary puzzles, number stunts, mental multiplication, interest rates, oddities, and more.