Symmetry Ornament And Modularity
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Symmetry Ornament And Modularity
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Author : Slavik V. Jablan
language : en
Publisher: World Scientific
Release Date : 2002
Symmetry Ornament And Modularity written by Slavik V. Jablan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
This book discusses the origins of ornamental art -- illustrated by the oldest examples, dating mostly from the paleolithic and neolithic ages, and considered from the theory-of-symmetry point of view. Because of its multidisciplinary nature, it will interest a wide range of readers: mathematicians, artists, art historians, architects, psychologists, and anthropologists. The book represents the complete analysis of plane symmetry structures, so it can be used by artists as a guide to the creation of new symmetry patterns. Some parts of the contents (such as Chapter 4, about conformal symmetry, and Chapter 6, about modularity in art) give the reader an opportunity to develop computer programs for producing images illustrating the corresponding symmetry forms.
Linknot
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Author : Slavik V. Jablan
language : en
Publisher: World Scientific
Release Date : 2007
Linknot written by Slavik V. Jablan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
LinKnot - Knot Theory by Computer provides a unique view of selected topics in knot theory suitable for students, research mathematicians, and readers with backgrounds in other exact sciences, including chemistry, molecular biology and physics. The book covers basic notions in knot theory, as well as new methods for handling open problems such as unknotting number, braid family representatives, invertibility, amphicheirality, undetectability, non-algebraic tangles, polyhedral links, and (2,2)-moves. Conjectures discussed in the book are explained at length. The beauty, universality and diversity of knot theory is illuminated through various non-standard applications: mirror curves, fullerens, self-referential systems, and KL automata.
Aesthetics Of Interdisciplinarity Art And Mathematics
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Author : Kristóf Fenyvesi
language : en
Publisher: Birkhäuser
Release Date : 2017-11-28
Aesthetics Of Interdisciplinarity Art And Mathematics written by Kristóf Fenyvesi and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-28 with Mathematics categories.
This anthology fosters an interdisciplinary dialogue between the mathematical and artistic approaches in the field where mathematical and artistic thinking and practice merge. The articles included highlight the most significant current ideas and phenomena, providing a multifaceted and extensive snapshot of the field and indicating how interdisciplinary approaches are applied in the research of various cultural and artistic phenomena. The discussions are related, for example, to the fields of aesthetics, anthropology, art history, art theory, artistic practice, cultural studies, ethno-mathematics, geometry, mathematics, new physics, philosophy, physics, study of visual illusions, and symmetry studies. Further, the book introduces a new concept: the interdisciplinary aesthetics of mathematical art, which the editors use to explain the manifold nature of the aesthetic principles intertwined in these discussions.
Iconicity In Cognition And Across Semiotic Systems
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Author : Sara Lenninger
language : en
Publisher: John Benjamins Publishing Company
Release Date : 2022-11-15
Iconicity In Cognition And Across Semiotic Systems written by Sara Lenninger and has been published by John Benjamins Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-15 with Language Arts & Disciplines categories.
This volume investigates iconicity as to both comprehension and production of meaning in language, gesture, pictures, art and literature. It highlights iconic processes in meaning-making and interpretation across different semiotic systems at structurally, historically and pragmatically different levels of iconicity, with special focus on Cognitive Semiotics. Exploring the ubiquity of iconicity in verbal, visual and gestural communication, these contributions discuss it from the point of view of human meaning-making, examined as a phenomenon that is experienced, embodied and often polysemiotic in nature.
Foundations Of Crystallography With Computer Applications
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Author : Maureen M. Julian
language : en
Publisher: CRC Press
Release Date : 2011-03-05
Foundations Of Crystallography With Computer Applications written by Maureen M. Julian and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-05 with Science categories.
X-ray crystallography provides a unique opportunity to study the arrangement of atoms in a molecule. This book's modern computer-graphics centered approach facilitates the extrapolation of these valuable observations. A unified treatment of crystal systems, the book explains how atoms are arranged in crystals using the metric matrix. Featuring t
New Horizons In International Comparative Literature
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Author : Cao Shunqing
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2024-04-17
New Horizons In International Comparative Literature written by Cao Shunqing and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-17 with Literary Collections categories.
Bringing together 16 articles by renowned scholars from around the globe, this volume offers a multi-dimensional view of comparative and world literature. Drawing on the scope of these scholars’ collective intellects and insights, it connects disparate research contexts to illuminate the multi-dimensional views of related areas as we step into the third decade of the 21st century. The book will be of particular interest to scholars working in comparative literary and cultural studies, and to readers interested in the future of literary studies in a cross-culturized world.
Manifold Mirrors
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Author : Felipe Cucker
language : en
Publisher: Cambridge University Press
Release Date : 2013-04-25
Manifold Mirrors written by Felipe Cucker and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-25 with Mathematics categories.
Most works of art, whether illustrative, musical or literary, are created subject to a set of constraints. In many (but not all) cases, these constraints have a mathematical nature, for example, the geometric transformations governing the canons of J. S. Bach, the various projection systems used in classical painting, the catalog of symmetries found in Islamic art, or the rules concerning poetic structure. This fascinating book describes geometric frameworks underlying this constraint-based creation. The author provides both a development in geometry and a description of how these frameworks fit the creative process within several art practices. He furthermore discusses the perceptual effects derived from the presence of particular geometric characteristics. The book began life as a liberal arts course and it is certainly suitable as a textbook. However, anyone interested in the power and ubiquity of mathematics will enjoy this revealing insight into the relationship between mathematics and the arts.
Architectural And Urban Subsymmetries
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Author : Jin-Ho Park
language : en
Publisher: Springer Nature
Release Date : 2022-09-24
Architectural And Urban Subsymmetries written by Jin-Ho Park and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-24 with Mathematics categories.
This book focuses on symmetries in the analysis and synthesis of architectural designs. Crucial in the history of architecture, principles of symmetry provided the means to achieve balance and harmony of spatial composition in architecture. Less well known is the importance of symmetry principles in the analysis of the distinct constituents in a contemporary architectural design which may, at first glance, appear disorganized or even random. The revelation of different hierarchical levels wherein various types of symmetry or subsymmetry are superimposed provides a key for deciphering the underlying structure of spatial logic. The interaction between local and global subsymmetries is of particular interest. Operating with symmetry concepts in this manner offers architects, designers and students an explicit method for understanding the symmetrical logics of sophisticated designs and gaining insights into new designs. This book has two complementary objectives: to explore the fundamental principles of architectural composition founded on the algebraic structure of symmetry groups in mathematics and to apply the principles in the analysis and synthesis of architectural and urban designs. By viewing and decomposing architectural and urban designs in this manner, the hidden spatial logic and underlying order in a design become transparent.
The Mathematica Guidebook For Graphics
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Author : Michael Trott
language : en
Publisher: Springer
Release Date : 2017-02-11
The Mathematica Guidebook For Graphics written by Michael Trott and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-11 with Computers categories.
Mathematica is today’s most advanced technical computing system. It features a rich programming environment, two-and three-dimensional graphics capabilities and hundreds of sophisticated, powerful programming and mathematical functions using state-of-the-art algorithms. Combined with a user-friendly interface, and a complete mathematical typesetting system, Mathematica offers an intuitive, easy-to-handle environment of great power and utility. The Mathematica Guidebook for Graphics provides a comprehensive step-by-step development of how to use Mathematica to visualize functions and data, manipulate graphics, and optimize their appearance. Two-dimensional graphics, contour plots, plots of surfaces, free-form three-dimensional surfaces, and animations are the core topics. Hundreds of detailed examples and programs show a large variety of visualization techniques, algorithms, methods, and tricks. These tools allow the reader to create virtually any possible graphic, from simple curves to scientific visualizations and artistic images and logos. Mathematica graphics functions are discussed in detail, explained in numerous examples, and put to work in programs that are all contained on the accompanying DVD. Unique Features: * Step-by-step introductions to all of Mathematica graphics capabilities * Comprehensive presentation of two-and three-dimensional graphics primitives and directives, as well as plotting capabilities for functions and data * Hundreds of unique and innovative scientific visualizations and artistic images * Website for book with additional materials and updates: http://www.MathematicaGuideBooks.org * Accompanying DVD contains all material as an electronic book with complete, executable Mathematica versions 4 and 5 compatible code and programs, rendered color graphics, and animations Michael Trott is a symbolic computation and computer graphics expert. He holds a Ph.D. in theoretical physics and joined the R&D team at Wolfram Research in 1994, the creators of Mathematica. Since 1998, he has been leading development of the Wolfram Functions Site http://functions.wolfram.com, which currently features more that 80,000 formulas and identities, and thousands of visualizations.
Mathematics Of Harmony As A New Interdisciplinary Direction And Golden Paradigm Of Modern Science Volume 2 Algorithmic Measurement Theory Fibonacci And Golden Arithmetic S And Ternary Mirror Symmetrical Arithmetic
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Author : Alexey Stakhov
language : en
Publisher: World Scientific
Release Date : 2020-09-03
Mathematics Of Harmony As A New Interdisciplinary Direction And Golden Paradigm Of Modern Science Volume 2 Algorithmic Measurement Theory Fibonacci And Golden Arithmetic S And Ternary Mirror Symmetrical Arithmetic written by Alexey Stakhov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-03 with Mathematics categories.
Volume II is the second part of the 3-volume book Mathematics of Harmony as a New Interdisciplinary Direction and 'Golden' Paradigm of Modern Science. 'Mathematics of Harmony' rises in its origin to the 'harmonic ideas' of Pythagoras, Plato and Euclid, this 3-volume book aims to promote more deep understanding of ancient conception of the 'Universe Harmony,' the main conception of ancient Greek science, and implementation of this conception to modern science and education.This 3-volume book is a result of the authors' research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the 'Mathematics of Harmony,' a new interdisciplinary direction of modern science. This direction has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the generalized Binet's formulas), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational bases, Fibonacci computers, ternary mirror-symmetrical arithmetic).The books are intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science.