Symmetry Ornament And Modularity

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Symmetry, Ornament and Modularity

Author : Slavik V. Jablan
Publisher : World Scientific
Page : 354 pages
File Size : 47,7 Mb
Release : 2002
Category : Mathematics
ISBN : 9812380809

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Symmetry, Ornament and Modularity by Slavik V. Jablan Pdf

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.

Foundations of Crystallography with Computer Applications

Author : Maureen M. Julian
Publisher : CRC Press
Page : 680 pages
File Size : 46,8 Mb
Release : 2014-10-03
Category : Science
ISBN : 9781466552920

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Foundations of Crystallography with Computer Applications by Maureen M. Julian Pdf

Taking a straightforward, logical approach that emphasizes symmetry and crystal relationships, Foundations of Crystallography with Computer Applications, Second Edition provides a thorough explanation of the topic for students studying the solid state in chemistry, physics, materials science, geological sciences, and engineering. It is also written

Nexus Network Journal 14,2

Author : Kim Williams
Publisher : Springer Science & Business Media
Page : 213 pages
File Size : 55,5 Mb
Release : 2014-02-01
Category : Mathematics
ISBN : 9783034805070

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Nexus Network Journal 14,2 by Kim Williams Pdf

This volulme features eight original papers dedicated to the theme “Persian Architecture and Mathematics,” guest edited by Reza Sarhangi. All papers were approved through a rigorous process of blind peer review and edited by an interdisciplinary scientific editorial committee. Topics range from symmetry in ancient Persian architecture to the elaborate geometric patterns and complex three-dimensional structures of standing monuments of historical periods, from the expression of mathematical ideas to architectonic structures, and from decorative ornament to the representation of modern group theory and quasi-crystalline patterns. The articles discuss unique monuments Persia, including domed structures and two-dimensional patterns, which have received significant scholarly attention in recent years. This book is a unique contribution to studies of Persian architecture in relation to mathematics.

Perspectives on Art Education

Author : Ruth Mateus-Berr,Michaela Götsch
Publisher : Walter de Gruyter GmbH & Co KG
Page : 192 pages
File Size : 44,5 Mb
Release : 2015-06-16
Category : Architecture
ISBN : 9783110444100

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Perspectives on Art Education by Ruth Mateus-Berr,Michaela Götsch Pdf

The training of teachers in arts universities is changing. It is confronted by the great challenge of essential cultural, technological, social and economic changes. The symposium "Perspectives on Art Education" (Vienna, May 28 - 30, 2015) is dedicated to these changes: What does the training need today in terms of artistic practice, research, and communication skills? What explanations do historical and contemporary approaches offer? What new strategies are needed in teaching and learning? How can the diverse approaches to art education in different cultures, embedded in various national structures and school types complement and empower each other andjointly develop?

Aesthetics of Interdisciplinarity: Art and Mathematics

Author : Kristóf Fenyvesi,Tuuli Lähdesmäki
Publisher : Birkhäuser
Page : 290 pages
File Size : 55,9 Mb
Release : 2017-11-28
Category : Mathematics
ISBN : 9783319572598

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Aesthetics of Interdisciplinarity: Art and Mathematics by Kristóf Fenyvesi,Tuuli Lähdesmäki Pdf

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.

LinKnot

Author : Slavik V. Jablan,Sazdanovic Radmila
Publisher : World Scientific
Page : 497 pages
File Size : 46,9 Mb
Release : 2007
Category : Mathematics
ISBN : 9789812772237

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LinKnot by Slavik V. Jablan,Sazdanovic Radmila Pdf

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.

Iconicity in Cognition and across Semiotic Systems

Author : Sara Lenninger,Olga Fischer,Christina Ljungberg,Elżbieta Tabakowska
Publisher : John Benjamins Publishing Company
Page : 423 pages
File Size : 48,9 Mb
Release : 2022-11-15
Category : Language Arts & Disciplines
ISBN : 9789027257574

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Iconicity in Cognition and across Semiotic Systems by Sara Lenninger,Olga Fischer,Christina Ljungberg,Elżbieta Tabakowska Pdf

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.

New Horizons in International Comparative Literature

Author : Cao Shunqing,Theo D'haen,Yang Qing,Zhai Lu,Zhou Shu,Li Shen,Xia Tian
Publisher : Cambridge Scholars Publishing
Page : 454 pages
File Size : 52,6 Mb
Release : 2024-04-17
Category : Literary Collections
ISBN : 9781036400408

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New Horizons in International Comparative Literature by Cao Shunqing,Theo D'haen,Yang Qing,Zhai Lu,Zhou Shu,Li Shen,Xia Tian Pdf

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.

The Mathematica GuideBook for Graphics

Author : Michael Trott
Publisher : Springer
Page : 1374 pages
File Size : 46,8 Mb
Release : 2017-02-11
Category : Computers
ISBN : 9781441985767

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The Mathematica GuideBook for Graphics by Michael Trott Pdf

This comprehensive, detailed reference provides readers with both a working knowledge of Mathematica in general and a detailed knowledge of the key aspects needed to create the fastest, shortest, and most elegant implementations possible. It gives users a deeper understanding of Mathematica by instructive implementations, explanations, and examples from a range of disciplines at varying levels of complexity. The three volumes - Programming, Graphics, and Mathematics - each with a CD, total 3,000 pages and contain more than 15,000 Mathematica inputs, over 1,500 graphics, 4,000+ references, and more than 500 exercises. This second volume covers 2 and 3D graphics, providing a detailed treatment of creating images from graphic primitives such as points, lines, and polygons. It also shows how to graphically display functions that are given either analytically or in discrete form and a number of images from the Mathamatica graphics gallery. The use of Mathematicas graphics capabilities provides a very efficient and instructive way to learn how to deal with the structures arising in solving complicated problems.

The Shock of Recognition

Author : Lewis Pyenson
Publisher : BRILL
Page : 666 pages
File Size : 47,5 Mb
Release : 2020-10-12
Category : Science
ISBN : 9789004325739

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The Shock of Recognition by Lewis Pyenson Pdf

In The Shock of Recognition, Lewis Pyenson examines art and science together to shed new light on common motifs in Picasso’s and Einstein’s education, in European material culture, and in the intellectual life of one nation-state, Argentina.

Architectural and Urban Subsymmetries

Author : Jin-Ho Park
Publisher : Springer Nature
Page : 272 pages
File Size : 42,9 Mb
Release : 2022-09-24
Category : Mathematics
ISBN : 9783031089466

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Architectural and Urban Subsymmetries by Jin-Ho Park Pdf

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.

Manifold Mirrors

Author : Felipe Cucker
Publisher : Cambridge University Press
Page : 427 pages
File Size : 45,5 Mb
Release : 2013-04-25
Category : Mathematics
ISBN : 9781107354494

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Manifold Mirrors by Felipe Cucker Pdf

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.

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

Author : Alexey Stakhov
Publisher : World Scientific
Page : 331 pages
File Size : 49,9 Mb
Release : 2020-09-03
Category : Mathematics
ISBN : 9789811213489

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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 by Alexey Stakhov Pdf

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.

EDU:TRANSVERSAL No. 02/2024

Author : Ruth Mateus-Berr
Publisher : Walter de Gruyter GmbH & Co KG
Page : 192 pages
File Size : 45,5 Mb
Release : 2024-04-22
Category : Art
ISBN : 9783111371641

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EDU:TRANSVERSAL No. 02/2024 by Ruth Mateus-Berr Pdf

New interdisciplinary research in education Given the current demands on schools and the challenges they face in an increasingly complex and volatile world, new and visionary educational paths and new educational concepts are urgently needed. Interdisciplinary collaboration within the curriculum can open up new possibilities for education. EDU:TRANSVERSAL No. 02/2024 presents transversal research findings, offers insights into innovative projects, and introduces interdisciplinary practices from schools and universities. The contributions deal with topics such as the digital image archive as a teaching and learning space for classes in art or German and the potential of memes for promoting critical Internet use in art and politics classes. Second issue of this periodical on transversal research in education State of the art of interdisciplinary research in didactics With contributions by Alessandra Bellissimo, Julia Fromm, Eva Greisberger, Maria Mogy, Gudrun Ragossnig, Eva-Maria Schitter, Birke Sturm, Petra Weixelbraun, and others

Feeding a Thousand Souls

Author : Vijaya Nagarajan
Publisher : Oxford University Press
Page : 400 pages
File Size : 49,7 Mb
Release : 2018-10-12
Category : Religion
ISBN : 9780190858087

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Feeding a Thousand Souls by Vijaya Nagarajan Pdf

Every day millions of Tamil women in southeast India wake up before dawn to create a kolam, an ephemeral ritual design made with rice flour, on the thresholds of homes, businesses and temples. This thousand-year-old ritual welcomes and honors Lakshmi, the goddess of wealth and alertness, and Bhudevi, the goddess of the earth. Created by hand with great skill, artistry, and mathematical precision, the kolam disappears in a few hours, borne away by passing footsteps and hungry insects. This is the first comprehensive study of the kolam in the English language. It examines its significance in historical, mathematical, ecological, anthropological, and literary contexts. The culmination of Vijaya Nagarajan's many years of research and writing on this exacting ritual practice, Feeding a Thousand Souls celebrates the experiences, thoughts, and voices of the Tamil women who keep this tradition alive.