عنوان

The symmetries of things /

(Number (ISBN

1568812205

(Number (ISBN

9781568812205

Number

dltt

Title Proper

The symmetries of things /

General Material Designation

[Book]

First Statement of Responsibility

John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss

Specific Material Designation and Extent of Item

xviii, 426 pages :

Other Physical Details

illustrations (chiefly color) ;

Dimensions

25 cm

Text of Note

Includes bibliographical references (pages 419-421) and index

Text of Note

SYMMETRIES OF FINITE OBJECTS AND PLANE REPEATING PATTERNS. Planar patterns -- The magic thorem -- The spherical patterns -- Frieze patterns -- Why the magic theorems work -- Euler's map theorem -- Classification of surfaces -- Orbifolds -- COLOR SYMMETRY, GROUP THEORY, AND TILINGS. Presenting presentations -- twofold colorations -- Threefold colorings of plane patterns -- Other primefold colorings -- Searching for relations --Types of tilings -- Abstract groups -- REPEATING PATTERNS IN OTHER SPACES. Introducing hyperbolic groups -- More on hyperbolic groups -- Archimedean tilings -- Generalized Schläfli symbols -- Naming Archimedean and Catalan polyhedra and tilings -- The "35 Prime" space groups -- Objects with prime symmetry -- Flat universes -- The 184 composite space groups -- Higher still

0

Text of Note

"Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. Inspired by the geometric intuition of Bill Thurston and empowered by his own analytical skills, John Conway, together with his coauthors, has developed a comprehensive mathematical theory of symmetry that allows the description and classification of symmetries in numerous geometric environments. This richly and compellingly illustrated book addresses the phenomenological, analytical, and mathematical aspects of symmetry on three levels that build on one another and will speak to interested lay people, artists, working mathematicians, and researchers."--BOOK JACKET

Geometry

Shapes

Symmetry (Mathematics)

Number

Edition

Class number

Book number

Conway, John H., (John Horton)

Burgiel, Heidi,1968-

Goodman-Strauss, Chaim,1967-

Date of Transaction

20121106000000.0

Cataloguing Rules (Descriptive Conventions))

rda

Electronic name

[Book]

Y