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Creating Symmetry

Author : Frank A. Farris
Publisher : Princeton University Press
Page : 247 pages
File Size : 47,43 MB
Release : 2015-06-02
Category : Art
ISBN : 1400865670

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A step-by-step illustrated introduction to the astounding mathematics of symmetry 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

Author : Frank A. Farris
Publisher : Princeton University Press
Page : 246 pages
File Size : 37,43 MB
Release : 2015-06-02
Category : Art
ISBN : 0691161739

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A step-by-step illustrated introduction to the astounding mathematics of symmetry 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.

Dynamic Symmetry - The Greek Vase

Author : Jay Hambidge
Publisher : Jepson Press
Page : 196 pages
File Size : 14,69 MB
Release : 2009-12
Category :
ISBN : 1444688707

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Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.

Digital Foundations

Author : xtine burrough
Publisher : Peachpit Press
Page : 563 pages
File Size : 18,10 MB
Release : 2008-12-11
Category :
ISBN : 0132104237

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Fuses design fundamentals and software training into one cohesive book! The only book to teach Bauhaus design principles alongside basic digital tools of Adobe's Creative Suite, including the recently released Adobe CS4 Addresses the growing trend of compressing design fundamentals and design software into the same course in universities and design trade schools. Lessons are timed to be used in 50-minute class sessions. Digital Foundations uses formal exercises of the Bauhaus to teach the Adobe Creative Suite. All students of digital design and production—whether learning in a classroom or on their own—need to understand the basic principles of design in order to implement them using current software. Far too often design is left out of books that teach software. Consequently, the design software training exercise is often a lost opportunity for visual learning. Digital Foundations reinvigorates software training by integrating Bauhaus design exercises into tutorials fusing design fundamentals and core Adobe Creative Suite methodologies. The result is a cohesive learning experience. Design topics and principles include: Composition; Symmetry and Asymmetry; Gestalt; Appropriation; The Bauhaus Basic Course Approach; Color Theory; The Grid; Scale, Hierarchy and Collage; Tonal Range; Elements of Motion. Digital Foundations is an AIGA Design Press book, published under Peachpit's New Riders imprint in partnership with AIGA, the professional association for design.

Symmetry Comes of Age

Author : Dorothy Koster Washburn
Publisher : University of Washington Press
Page : 396 pages
File Size : 16,8 MB
Release : 2004
Category : Art
ISBN : 9780295983660

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The two volumes together offer readers a new window into the communicative importance of design."--Jacket.

Symmetry

Author : István Hargittai
Publisher : Elsevier
Page : 1068 pages
File Size : 25,42 MB
Release : 2014-05-23
Category : Science
ISBN : 1483149528

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International Series in Modern Applied Mathematics and Computer Science, Volume 10: Symmetry: Unifying Human Understanding provides a tremendous scope of “symmetry , covering subjects from fractals through court dances to crystallography and literature. This book discusses the limits of perfection, symmetry as an aesthetic factor, extension of the Neumann-Minnigerode-Curie principle, and symmetry of point imperfections in solids. The symmetry rules for chemical reactions, matching and symmetry of graphs, mosaic patterns of H. J. Woods, and bilateral symmetry in insects are also elaborated. This text likewise covers the crystallographic patterns, Milton's mathematical symbol of theodicy, symmetries of soap films, and gapon formalism. This volume is a good source for researchers and specialists concerned with symmetry.

Symmetry, Shared Labels and Movement in Syntax

Author : Andreas Blümel
Publisher : Walter de Gruyter GmbH & Co KG
Page : 173 pages
File Size : 26,84 MB
Release : 2017-03-20
Category : Language Arts & Disciplines
ISBN : 3110520184

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What is the trigger for displacement phenomena in natural language syntax? And how can constraints on syntactic movement be derived from interface conditions and so-called Third Factor principles? Within the Minimalist Program a standard answer to the first question is that it is driven by morphosyntactic features. This monograph challenges that view and suggests that the role of features in driving syntactic computation has been overestimated. Instead it proposes that "labeling" -- the detection of a prominent element in sets formed by Merge -- plays a role in driving transformations, and labeling itself is understood to derive from an interplay of efficient computation and the need for a label at the Conceptual-Intentional systems. It explores this idea in four empirical domains: Long-distance dependencies, Criterial Freezing-phenomena, nested dependencies and ATB-movement. The languages considered include English, German and Hebrew.

Fearful Symmetry

Author : A. Zee
Publisher : Princeton University Press
Page : 376 pages
File Size : 18,92 MB
Release : 2015-10-01
Category : Science
ISBN : 1400874505

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An engaging exploration of beauty in physics, with a foreword by Nobel Prize–winning physicist Roger Penrose The concept of symmetry has widespread manifestations and many diverse applications—from architecture to mathematics to science. Yet, as twentieth-century physics has revealed, symmetry has a special, central role in nature, one that is occasionally and enigmatically violated. Fearful Symmetry brings the incredible discoveries of the juxtaposition of symmetry and asymmetry in contemporary physics within everyone's grasp. A. Zee, a distinguished physicist and skillful expositor, tells the exciting story of how contemporary theoretical physicists are following Einstein in their search for the beauty and simplicity of Nature. Animated by a sense of reverence and whimsy, Fearful Symmetry describes the majestic sweep and accomplishments of twentieth-century physics—one of the greatest chapters in the intellectual history of humankind.

CATIA V5-6R2017 for Designers, 15th Edition

Author : Prof. Sham Tickoo
Publisher : CADCIM Technologies
Page : 1128 pages
File Size : 33,30 MB
Release : 2017-12-27
Category : Computers
ISBN : 1640570101

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CATIA V5-6R2017 for Designers is a comprehensive book written with the intention of helping the readers effectively use all solid modeling tools and other features of CATIA V5-6R2017. This book provides elaborate and clear explanation of tools of all commonly used workbenches of CATIA V5-6R2017. After reading this book, you will be able to create, assemble, and draft models. The chapter on the DMU Kinematics workbench will enable the users to create, edit, simulate, and analyze different mechanisms dynamically. The chapter on Generative Shape Design explains the concept of hybrid designing of models. Also, it enable the users to quickly model both simple and complex shapes using wireframe, volume and surface features. The chapter on the FreeStyle workbench will enable the users to dynamically design and manipulate surfaces. In this book, a chapter on FEA and structural analysis has been added to help users to analyze their own designs by calculating stresses and displacements using various tools available in the Advanced Meshing Tools and Generative Structural Analysis workbenches of CATIA V5-6R2017. The book explains the concepts through real-world examples and the tutorials used in this book. After reading this book, the users will be able to create solid parts, sheet metal parts, assemblies, weldments, drawing views with bill of materials, presentation views to animate the assemblies, analyze their own designs and apply direct modeling techniques to facilitate rapid design prototyping. Also, the users will learn the editing techniques that are essential for making a successful design. Salient Features Consists of 19 chapters that are organized in a pedagogical sequence. Detailed explanation of CATIA V5-6R2017 tools. First page summarizes the topics covered in the chapter. Hundreds of illustrations and comprehensive coverage of CATIA V5-6R2017 concepts and techniques. Step-by-step instructions that guide the users through the learning process. More than 40 real-world mechanical engineering designs as tutorials and projects. Technical support by contacting [email protected]. Additional learning resources at https://allaboutcadcam.blogspot.com Table of Contents Chapter 1: Introduction to CATIA V5-6R2017 Chapter 2: Drawing Sketches in the Sketcher Workbench-I Chapter 3: Drawing Sketches in the Sketcher Workbench-II Chapter 4: Constraining Sketches and Creating Base Features Chapter 5: Reference Elements and Sketch-Based Features Chapter 6: Creating Dress-Up and Hole Features Chapter 7: Editing Features Chapter 8: Transformation Features and Advanced Modeling Tools-I Chapter 9: Advanced Modeling Tools-II Chapter 10: Working with the Wireframe and Surface Design Workbench Chapter 11: Editing and Modifying Surfaces Chapter 12: Assembly Modeling Chapter 13: Working with the Drafting Workbench-I Chapter 14: Working with the Drafting Workbench-II Chapter 15: Working with the Sheet Metal Components Chapter 16: DMU Kinematics Chapter 17: Introduction to Generative Shape Design Chapter 18: Working with the FreeStyle Workbench Chapter 19: Introduction to FEA and Generative Structural Analysis Index

Symmetry

Author : Ruth B. McDowell
Publisher : C&T Publishing Inc
Page : 147 pages
File Size : 16,17 MB
Release : 1994-01-01
Category : Crafts & Hobbies
ISBN : 1571205144

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In this book, Ruth guides the quiltmaker in exploring and developing truly original designs. She presents 17 new quilts based upon the 17 pattern concepts, and she leads the reader through the fun of applying the concepts to the creation of new quilts. Her students have often called this process the most useful design workshop they have ever taken. For the beginning designer, she presents the possibilities inherent in very simple asymmetric block designs. Each chapter presents a new block design and a new concept, illustrated by a quilt shown in color, with templates, yardage chart, and directions. Each of the new blocks can be used in other symmetries to produce new patterns. And each of the concepts can be applied to thousands of other blocks.