Creating Symmetry

The Artful Mathematics of Wallpaper Patterns

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Art & Architecture, General Art, Science
Cover of the book Creating Symmetry by Frank A. Farris, Princeton University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Frank A. Farris ISBN: 9781400865673
Publisher: Princeton University Press Publication: June 2, 2015
Imprint: Princeton University Press Language: English
Author: Frank A. Farris
ISBN: 9781400865673
Publisher: Princeton University Press
Publication: June 2, 2015
Imprint: Princeton University Press
Language: English

This lavishly illustrated book provides a hands-on, step-by-step introduction to the intriguing mathematics of symmetry. Instead of breaking up patterns into blocks—a sort of potato-stamp method—Frank Farris offers a completely new waveform approach that enables you to create an endless variety of rosettes, friezes, and wallpaper patterns: dazzling art images where the beauty of nature meets the precision of mathematics.

Featuring more than 100 stunning color illustrations and requiring only a modest background in math, Creating Symmetry begins by addressing the enigma of a simple curve, whose curious symmetry seems unexplained by its formula. Farris describes how complex numbers unlock the mystery, and how they lead to the next steps on an engaging path to constructing waveforms. He explains how to devise waveforms for each of the 17 possible wallpaper types, and then guides you through a host of other fascinating topics in symmetry, such as color-reversing patterns, three-color patterns, polyhedral symmetry, and hyperbolic symmetry. Along the way, Farris demonstrates how to marry waveforms with photographic images to construct beautiful symmetry patterns as he gradually familiarizes you with more advanced mathematics, including group theory, functional analysis, and partial differential equations. As you progress through the book, you'll learn how to create breathtaking art images of your own.

Fun, accessible, and challenging, Creating Symmetry features numerous examples and exercises throughout, as well as engaging discussions of the history behind the mathematics presented in the book.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This lavishly illustrated book provides a hands-on, step-by-step introduction to the intriguing mathematics of symmetry. Instead of breaking up patterns into blocks—a sort of potato-stamp method—Frank Farris offers a completely new waveform approach that enables you to create an endless variety of rosettes, friezes, and wallpaper patterns: dazzling art images where the beauty of nature meets the precision of mathematics.

Featuring more than 100 stunning color illustrations and requiring only a modest background in math, Creating Symmetry begins by addressing the enigma of a simple curve, whose curious symmetry seems unexplained by its formula. Farris describes how complex numbers unlock the mystery, and how they lead to the next steps on an engaging path to constructing waveforms. He explains how to devise waveforms for each of the 17 possible wallpaper types, and then guides you through a host of other fascinating topics in symmetry, such as color-reversing patterns, three-color patterns, polyhedral symmetry, and hyperbolic symmetry. Along the way, Farris demonstrates how to marry waveforms with photographic images to construct beautiful symmetry patterns as he gradually familiarizes you with more advanced mathematics, including group theory, functional analysis, and partial differential equations. As you progress through the book, you'll learn how to create breathtaking art images of your own.

Fun, accessible, and challenging, Creating Symmetry features numerous examples and exercises throughout, as well as engaging discussions of the history behind the mathematics presented in the book.

More books from Princeton University Press

Cover of the book Atatürk by Frank A. Farris
Cover of the book The Diffusion of Military Power by Frank A. Farris
Cover of the book Nature, Human Nature, and Human Difference by Frank A. Farris
Cover of the book Phishing for Phools by Frank A. Farris
Cover of the book Seeds of Amazonian Plants by Frank A. Farris
Cover of the book A Wildlife Guide to Chile by Frank A. Farris
Cover of the book The Order of Terror by Frank A. Farris
Cover of the book The Handbook of Economic Sociology by Frank A. Farris
Cover of the book The Presidency of George W. Bush by Frank A. Farris
Cover of the book A History of the ‘Alawis by Frank A. Farris
Cover of the book From the Ground Up by Frank A. Farris
Cover of the book The Physicist and the Philosopher by Frank A. Farris
Cover of the book The Love of Strangers by Frank A. Farris
Cover of the book Natural Rights and the New Republicanism by Frank A. Farris
Cover of the book How Growth Really Happens by Frank A. Farris
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy