Creating Symmetry: The Artful Mathematics of Wallpaper Patterns, by Frank A. Farris
Don't bother if you don't have adequate time to head to guide store and look for the preferred publication to review. Nowadays, the on the internet e-book Creating Symmetry: The Artful Mathematics Of Wallpaper Patterns, By Frank A. Farris is coming to offer ease of checking out practice. You may not should go outdoors to browse the e-book Creating Symmetry: The Artful Mathematics Of Wallpaper Patterns, By Frank A. Farris Searching as well as downloading the e-book entitle Creating Symmetry: The Artful Mathematics Of Wallpaper Patterns, By Frank A. Farris in this post will certainly provide you much better remedy. Yeah, on-line book Creating Symmetry: The Artful Mathematics Of Wallpaper Patterns, By Frank A. Farris is a sort of electronic e-book that you can enter the link download supplied.
Creating Symmetry: The Artful Mathematics of Wallpaper Patterns, by Frank A. Farris
Read and Download Creating Symmetry: The Artful Mathematics of Wallpaper Patterns, by Frank A. Farris
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.
Creating Symmetry: The Artful Mathematics of Wallpaper Patterns, by Frank A. Farris- Amazon Sales Rank: #500694 in Books
- Brand: Farris, Frank A.
- Published on: 2015-06-02
- Original language: English
- Number of items: 1
- Dimensions: 10.20" h x 1.00" w x 9.10" l, .0 pounds
- Binding: Hardcover
- 248 pages
Review Honorable Mention for the 2016 PROSE Award in Mathematics, Association of American Publishers"[A] beautifully illustrated guide to fusing mathematical and artistic creativity to generate fascinating and visually appealing designs."--Evelyn Lamb, Scientific American"[A] beautiful book. . . . [Creating Symmetry] is a thoughtful, innovative and interesting piece of work, discussing material that the author is obviously very enthusiastic about; such enthusiasm is, as is often the case, contagious."--Mark Hunacek, MAA Reviews"This is a marvelous book that brings groups, and along the way many other mathematical concepts, to the reader in an unconventional way."--Adhemar Bultheel, European Mathematical Society Bulletin"Mathematics students thus get a visually rich path into group theory that compellingly informs even first steps with ideas usually deemed advanced. Braver art students will find motivation and the means to learn some mathematics they can put right to use."--D. V. Feldman, Choice
From the Back Cover
"Frank's rich artistry vibrantly enlivens the mathematics of symmetry. What a treat for the eye and the mind!"--Michael Starbird, The University of Texas at Austin
"The imagery in this book is attractive and engaging, and illustrates Farris's excellent command of the mathematical techniques and his strong sense of visual design. General readers will appreciate the beauty of the images and will find incentive to learn how mathematics can be used in creative ways to produce art."--George W. Hart, coauthor of Zome Geometry: Hands-on Learning with Zome Models
"This unique book takes an entirely new approach to creating images with symmetry. The pictures are compelling and Farris presents the material in an inviting manner. He leads readers into interesting areas of mathematics not usually encountered in undergraduate courses, and rarely, if ever, encountered as a way to study symmetry."--Doris Schattschneider, author of M. C. Escher: Visions of Symmetry
"In Creating Symmetry, Farris explores the concept of symmetry and its application to creating artistic patterns in two dimensions. The result is a set of algorithmic tools for transforming ordinary photographs into rosettes and wavelike murals decorated with colorful swirls and gradients. It is difficult to imagine a more engaging focus for teaching the mathematics of symmetry."--Kenneth Libbrecht, author of The Secret Life of a Snowflake: An Up-Close Look at the Art and Science of Snowflakes
"Creating Symmetry is a stunning fusion of mathematics and art, applying the mathematics of symmetry to create beautiful patterns. But the beauty runs far deeper: the mathematical insights involved are supremely beautiful in their own right. If you want to know why there are exactly 17 basic types of wallpaper, what their structure is, and which other mathematical ideas are related, or if you just want to see some amazing pictures, look no further."--Ian Stewart, author of Professor Stewart's Casebook of Mathematical Mysteries
"Creating Symmetry is a remarkable, one-of-a-kind book, with unique and beautiful pictures. While plane symmetry groups have been the subject of other books, Farris's approach is fresh and accessible."--John Stillwell, author of Roads to Infinity: The Mathematics of Truth and Proof
"Farris has written an amazing book. His vision is expansive, his enthusiasm is contagious, and the illustrations are intriguing and beautiful. Farris enables readers to gain a deep appreciation and understanding of the mathematics behind symmetry and his novel approach to creating symmetrical patterns. No other book comes close."--Thomas Q. Sibley, author of Foundations of Mathematics
"This book introduces readers to the fascinating interplay of geometry, complex function theory, abstract algebra, complex domain coloring, Fourier series, and aesthetics in producing really beautiful images. Farris shows how structured forms of symmetry can be constructed in a disciplined way from first mathematical principles, and how artistically pleasing images can communicate sophisticated but understandable mathematics."--Paul Zorn, author of Understanding Real Analysis
About the Author Frank A. Farris teaches mathematics at Santa Clara University. He is a former editor of Mathematics Magazine, a publication of the Mathematical Association of America. He lives in San Jose, California.
Where to Download Creating Symmetry: The Artful Mathematics of Wallpaper Patterns, by Frank A. Farris
Most helpful customer reviews
2 of 3 people found the following review helpful. A VERY UNIQUE MATHEMATICAL BOOK!! By COSMIC TRAVELER Are you a mathematician? If you are, then this book is for you. Author Frank A. Farris, has written an outstanding book that introduces you to the creation of mathematical symmetry: The artistic process of making choices among the vast infinity of mathematical patternsfree to wave and curve, but constrained by the limitations of pattern type.The author begins by showing you how to make a circle and other curves. Next, he discusses how complex numbers make it easier to keep track of circles, curves and rotations. Then, the author explains why the mystery curve has a 5-fold symmetry. Also, the author discusses what algebraic and analytic structures, best describes the families of curves. He then surprises us, in a suitable sense, that every periodic curve in the plane can indeed be written as a superposition of waves, even though infinitely, many are required in general. Then, the author discusses how you can extend your curves with m-fold symmetry to functions from C to C. In addition, he defines plane symmetry; studies a particular class of patterns; the rosettes; and, construct spaces of functions that, with the domain-coloring algorithm, allow you rich opportunities for creating symmetry. Also, the author then explains what the various possible frieze groups are. He then makes a more literal connection, even to surfaces moving up and down; modeling the swells in the oceannot the waves crashing on the shore. Next, the author continues by unveiling the wave packets, superpositions of particular waves that dance together to create symmetry. Then, he discusses what other symmetries are possible in wallpaper functions with 3-fold symmetry. Also, the author discusses what algebraic structures describe the symmetries of functions with 3- or 6-fold rotations. He then explains why it is impossible to make wallpaper with 5-fold symmetry. Next, the author shows you how to make plane waves invariant with respect to a given lattice. He continues by showing you how many symmetry types are possible by using the square lattice. Also, the author discusses the distinctive appearance of mirror symmetries in rhombic cells that have central mirrorshence the name centered cell patterns. He then investigates wallpaper functions that are periodic with respect the generic cell, meaning a parallelogram with no special proportions between the side and no restriction on the angles. Next, the author shows you how many symmetry types are possible by using the rectangular lattice. Then, he discusses how you can make functions with color-reversing symmetries, and how many types there are. Also, the author discusses what construction methods create color-turning symmetry. He then explains how point groups help you know how to find all possible wallpaper groups. Finally, the author explains how an artless technique allows you to create images that morph one pattern to another.This excellent book also explains what causes the appearance of local symmetries in wallpaper. Among the many things discussed in this great book, is how often you can make functions with polyhedral symmetry.
0 of 0 people found the following review helpful. DO NOT BUY EBOOK By Aditya N Content wise this book is great. I wish I had bought the physical book.This review is to warn possible ebook version purchasers. The ebook is absolutely terrible. The equations look terrible (they retain their white background, don't scale) and it's extremely difficult to follow the images with the content. Do not make my mistake. Buy the physical book.
0 of 0 people found the following review helpful. Mathematical Beauty By Penny de Byl This book is the embodiment of the beauty of mathematics.
See all 6 customer reviews... Creating Symmetry: The Artful Mathematics of Wallpaper Patterns, by Frank A. FarrisCreating Symmetry: The Artful Mathematics of Wallpaper Patterns, by Frank A. Farris PDF
Creating Symmetry: The Artful Mathematics of Wallpaper Patterns, by Frank A. Farris iBooks
Creating Symmetry: The Artful Mathematics of Wallpaper Patterns, by Frank A. Farris ePub
Creating Symmetry: The Artful Mathematics of Wallpaper Patterns, by Frank A. Farris rtf
Creating Symmetry: The Artful Mathematics of Wallpaper Patterns, by Frank A. Farris AZW
Creating Symmetry: The Artful Mathematics of Wallpaper Patterns, by Frank A. Farris Kindle
Tidak ada komentar:
Posting Komentar