M.C. Escher: Visions of Symmetry / Edition 2 by Doris Schattschneider, Douglas R. Hofstadter | | 9780810943087 | Hardcover | Barnes & Noble
M.C. Escher: Visions of Symmetry / Edition 2

M.C. Escher: Visions of Symmetry / Edition 2

by Doris Schattschneider, Douglas R. Hofstadter
     
 

ISBN-10: 0810943085

ISBN-13: 9780810943087

Pub. Date: 05/01/2004

Publisher: Abrams, Harry N., Inc.

Doris Schattschneider's classic M. C. Escher: Visions of Symmetry (1990) is the most penetrating study of Escher's work in existence, and the one most admired by mathematicians and scientists. It deals with one powerful obsession that preoccupied Escher: what he called "the regular division of the plane," the puzzle-like interlocking of birds, fish,

Overview

Doris Schattschneider's classic M. C. Escher: Visions of Symmetry (1990) is the most penetrating study of Escher's work in existence, and the one most admired by mathematicians and scientists. It deals with one powerful obsession that preoccupied Escher: what he called "the regular division of the plane," the puzzle-like interlocking of birds, fish, lizards, and other natural forms in continuous patterns. Schattschneider asks, "How did he do itfi" She answers the question by meticulously analyzing Escher's notebooks, and the New Scientist described the result as "a collection of detective stories whose plots are brilliantly organized patterns."Like the first edition of the book, this new volume includes many of Escher's masterworks, as well as hundreds of lesser-known examples of his work. It also features an illustrated epilogue by the author that reveals new information about Escher's inspiration and shows how his ideas of symmetry have influenced mathematicians, computer scientists, and contemporary artists. Visions of Symmetry is a trip into the mind of a creator who continues to captivate the world. Author Bio: Doris Schattschneider received her Ph.D. in mathematics from Yale University and taught at Moravian College, Bethlehem, Pennsylvania, for 34 years. She is the author of the best-selling model kit M. C. Escher Kaleidocycles and co-editor of the book and CD-ROM M.C. Escher's Legacy: A Centennial Celebration. She has served as editor-in-chief of Mathematics Magazine and in 1993 she received the national MAA Award for Distinguished Teaching of College or University Mathematics. Douglas R. Hofstadter is the Pulitzer Prize-winning author of Gödel, Escher, Bach: An Eternal Golden Braid. A mathematician, physicist, and computer scientist, he is professor of computer science and cognitive science at Indiana University. Recently, Wired magazine called him "the most remarkable researcher in artificial intelligence today."

Product Details

ISBN-13:
9780810943087
Publisher:
Abrams, Harry N., Inc.
Publication date:
05/01/2004
Edition description:
2ND
Pages:
384
Sales rank:
293,345
Product dimensions:
9.37(w) x 11.37(h) x 1.37(d)
Age Range:
13 - 18 Years

Table of Contents

Foreword: Patterns that Haunt the Mindviii
Prefaceix
Chapter 1The Route to Regular Division1
Early signs2
The fascination of regular division of the plane9
An important journey15
The open gate19
The geometric rules31
Developing a "layman's theory,"36
Sources that came too late40
Other experiments in regular division44
Chapter 2The 1941-1942 Notebooks53
The 1941-1942 notebooks54
Escher's theory in relation to mathematical and crystallographic classification94
Escher and the scientists on contrast and color98
Chapter 3The Regular Division Drawings105
From theory to the periodic drawings106
The folio notebooks of periodic drawings112
Chapter 4The Use of Regular Division235
The periodic drawings as sources236
Capturing infinity241
Metaphor and metamorphosis254
Escher's decorative use of regular division of the plane266
The use of Escher's work on regular division by others274
Chapter 5Notes on the Drawings283
Concordance323
Afterword335
New discoveries335
Mathematical questions suggested by Escher's symmetry work340
The computer and Escher347
The artistic legacy of Escher's symmetry work351
Ownership and Illustration Credits355
Bibliography357
Indexes365
Index to periodic drawings by motif365
Index to periodic drawings and related work366
Index to graphic works367
General Index368

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