Most-perfect Pandiagonal Magic Squares
Author : Kathleen Ollerenshaw
Publisher :
Page : 188 pages
File Size : 44,73 MB
Release : 1998
Category : Magic squares
ISBN :
Author : Kathleen Ollerenshaw
Publisher :
Page : 188 pages
File Size : 44,73 MB
Release : 1998
Category : Magic squares
ISBN :
Author : Clifford A. Pickover
Publisher : Princeton University Press
Page : 433 pages
File Size : 48,35 MB
Release : 2011-11-28
Category : 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 : M K Joseph
Publisher : Universities Press
Page : 434 pages
File Size : 26,89 MB
Release :
Category :
ISBN : 9788173714665
Author : William Symes Andrews
Publisher :
Page : 220 pages
File Size : 10,37 MB
Release : 1908
Category : Magic cubes
ISBN :
Author : Bryan Bunch
Publisher : Macmillan
Page : 414 pages
File Size : 47,75 MB
Release : 2001-09-15
Category : Mathematics
ISBN : 9780716744474
A guide to numbers, suggesting ways of looking at individual numbers and their unique properties.
Author : Dame Kathleen Ollerenshaw
Publisher : Manchester University Press
Page : 324 pages
File Size : 12,4 MB
Release : 2004-10-29
Category : Biography & Autobiography
ISBN : 9780719069871
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.
Author : Harvey D. Heinz
Publisher : Surrey, B.C. : HDH
Page : 184 pages
File Size : 25,65 MB
Release : 2000-01-01
Category : Magic cubes
ISBN : 9780968798508
This book defines 239 terms associated with magic squares, cubes, tesseracts, stars, hexagrams, etc. Many tables compare characteristics between orders or dimensions. The illustrations were chosen, where possible, to demonstrate additional features besides the particular definition.
Author : Martin Gardner
Publisher : CRC Press
Page : 319 pages
File Size : 41,60 MB
Release : 2001-07-18
Category : Mathematics
ISBN : 1439864098
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
Author : Robin Wilson
Publisher :
Page : 392 pages
File Size : 29,51 MB
Release : 2013-06-27
Category : Mathematics
ISBN : 0199656592
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.
Author : Peter van Beek
Publisher : Springer
Page : 906 pages
File Size : 45,61 MB
Release : 2005-10-19
Category : Computers
ISBN : 3540320504
The 11th International Conference on the Principles and Practice of Constraint Programming (CP 2005) was held in Sitges (Barcelona), Spain, October 1-5, 2005. Information about the conference can be found on the web at http://www.iiia.csic.es/cp2005/.Informationaboutpastconferencesinthe series can be found athttp://www.cs.ualberta.ca/~ai/cp/. The CP conference series is the premier international conference on c- straint programming and is held annually. The conference is concerned with all aspects of computing with constraints, including: algorithms, applications, environments, languages, models and systems. This year, we received 164 submissions. All of the submitted papers received atleastthreereviews, andthepapersandtheirreviewswerethenextensivelyd- cussed during an online Program Committee meeting. As a result, the Program Committee chose 48 (29.3%) papers to be published in full in the proceedings and a further 22 (13.4%)papers to be published as short papers.The full papers werepresentedattheconferencein twoparalleltracksandtheshortpaperswere presented as posters during a lively evening session. Two papers were selected by a subcommittee of the ProgramCommittee--consisting of Chris Beck, Gilles Pesant, and myself--to receive best paper awards. The conference program also includedexcellentinvitedtalksbyHþ ectorGe?ner, IanHorrocks, FrancescaRossi, and Peter J. Stuckey. As a permanent record, the proceedings contain four-page extended abstracts of the invited talks.