Symmetry, Ornament and Modularity

Symmetry, Ornament and Modularity

Author: Slavik V. Jablan

Publisher: World Scientific

Published: 2002

Total Pages: 354

ISBN-13: 9789812380807

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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

Foundations of Crystallography with Computer Applications

Author: Maureen M. Julian

Publisher: CRC Press

Published: 2011-03-05

Total Pages: 368

ISBN-13: 1420060767

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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


Aesthetics of Interdisciplinarity: Art and Mathematics

Aesthetics of Interdisciplinarity: Art and Mathematics

Author: Kristóf Fenyvesi

Publisher: Birkhäuser

Published: 2017-11-28

Total Pages: 297

ISBN-13: 3319572598

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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

Iconicity in Cognition and across Semiotic Systems

Author: Sara Lenninger

Publisher: John Benjamins Publishing Company

Published: 2022-11-15

Total Pages: 423

ISBN-13: 9027257574

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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.


The Mathematica GuideBook for Graphics

The Mathematica GuideBook for Graphics

Author: Michael Trott

Publisher: Springer

Published: 2017-02-11

Total Pages: 1374

ISBN-13: 144198576X

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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.


New Horizons in International Comparative Literature

New Horizons in International Comparative Literature

Author: Cao Shunqing

Publisher: Cambridge Scholars Publishing

Published: 2024-04-17

Total Pages: 454

ISBN-13: 1036400409

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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 Shock of Recognition

The Shock of Recognition

Author: Lewis Pyenson

Publisher: BRILL

Published: 2020-10-12

Total Pages: 666

ISBN-13: 9004325735

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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

Architectural and Urban Subsymmetries

Author: Jin-Ho Park

Publisher: Springer Nature

Published: 2022-09-24

Total Pages: 272

ISBN-13: 3031089464

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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

Manifold Mirrors

Author: Felipe Cucker

Publisher: Cambridge University Press

Published: 2013-04-25

Total Pages: 427

ISBN-13: 1107354498

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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.


EDU:TRANSVERSAL No. 02/2024

EDU:TRANSVERSAL No. 02/2024

Author: Ruth Mateus-Berr

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2024-04-22

Total Pages: 192

ISBN-13: 3111371646

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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