What We Are Reading Today: Creating Symmetry by Frank A. Farris

Author: 
Thu, 2018-12-06 22:28

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 A. 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.

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What We Are Reading Today: Creating Symmetry by Frank A. Farris