Symmetry Ornament And Modularity

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.

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

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.

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?

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 - 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.

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.

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.