Connections: The Geometric Bridge Between Art & Science (2nd Edition) PDF Download
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Author: Jay Kappraff
Publisher: World Scientific
ISBN: 9814491322
Category : Mathematics
Languages : en
Pages : 519
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Book Description
The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in “Mathematics, Chemistry, and Astronomy — Professional and Reference” in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations. It is suitable for research in a variety of fields and as an aid to teaching a course in the mathematics of design. It has been influential in stimulating the burgeoning interest in the relationship between mathematics and design. In the second edition there are five new sections, supplementary, as well as a new preface describing the advances in design science since the publication of the first edition.
Author: Jay Kappraff
Publisher: World Scientific
ISBN: 9814491322
Category : Mathematics
Languages : en
Pages : 519
Get Book Here
Book Description
The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in “Mathematics, Chemistry, and Astronomy — Professional and Reference” in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations. It is suitable for research in a variety of fields and as an aid to teaching a course in the mathematics of design. It has been influential in stimulating the burgeoning interest in the relationship between mathematics and design. In the second edition there are five new sections, supplementary, as well as a new preface describing the advances in design science since the publication of the first edition.
Author: Eliane Strosberg
Publisher: WW Norton
ISBN: 0789260565
Category : Art
Languages : en
Pages : 566
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Book Description
An abundantly illustrated history of the dynamic interaction between the arts and sciences, and how it has shaped our world. Today, art and science are often defined in opposition to each other: one involves the creation of individual aesthetic objects, and the other the discovery of general laws of nature. Throughout human history, however, the boundaries have been less clearly drawn: knowledge and artifacts have often issued from the same source, the head and hands of the artisan. And artists and scientists have always been linked, on a fundamental level, by their reliance on creative thinking. Art and Science is the only book to survey the vital relationship between these two fields of endeavor in its full scope, from prehistory to the present day. Individual chapters explore how science has shaped architecture in every culture and civilization; how mathematical principles and materials science have underpinned the decorative arts; how the psychology of perception has spurred the development of painting; how graphic design and illustration have evolved in tandem with methods of scientific research; and how breakthroughs in the physical sciences have transformed the performing arts. Some 265 illustrations, ranging from masterworks by Dürer and Leonardo to the dazzling vistas revealed by fractal geometry, complement the wide-ranging text. This new edition of Art and Science has been updated to cover the ongoing convergence of art and technology in the digital age, a convergence that has led to the emergence of a new type of creator, the “cultural explorer” whose hybrid artworks defy all traditional categorization. It will make thought-provoking reading for students and teachers, workers in creative and technical fields, and anyone who is curious about the history of human achievement.
Author: Kristóf Fenyvesi
Publisher: Birkhäuser
ISBN: 3319572598
Category : Mathematics
Languages : en
Pages : 297
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Book Description
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.
Author: Kim Williams
Publisher: Springer Science & Business Media
ISBN: 3764389761
Category : Mathematics
Languages : en
Pages : 179
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Book Description
The title of this issue of the Nexus Network Journal, "Architecture, Mathematics and Structure," is deliberately ambiguous. At first glance, it might seem to indicate the relationship between what buildings look like and how they stand up. This is indeed one aspect of what we are concerned with here. But on a deeper level, the fundamental concept of structure is what connects architecture to mathematics. Both architecture and mathematics are highly structured formal systems expressed through a symbolic language. For architecture, the generating structure might be geometrical, musical, modular, or fractal. Once we understand the nature of the structure underlying the design, we are able to "read" the meaning inherent in the architectural forms. The papers in this issue all explore themes of structure in different ways.
Author: J. Scott Carter
Publisher: World Scientific
ISBN: 9814374490
Category : Mathematics
Languages : en
Pages : 294
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Book Description
The aim of this book is to give as detailed a description as is possible of one of the most beautiful and complicated examples in low-dimensional topology. This example is a gateway to a new idea of higher dimensional algebra in which diagrams replace algebraic expressions and relationships between diagrams represent algebraic relations. The reader may examine the changes in the illustrations in a leisurely fashion; or with scrutiny, the reader will become familiar and develop a facility for these diagrammatic computations. The text describes the essential topological ideas through metaphors that are experienced in everyday life: shadows, the human form, the intersections between walls, and the creases in a shirt or a pair of trousers. Mathematically informed reader will benefit from the informal introduction of ideas. This volume will also appeal to scientifically literate individuals who appreciate mathematical beauty.
Author: Sergey Siparov
Publisher: World Scientific
ISBN: 9814340839
Category : Science
Languages : en
Pages : 318
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Book Description
The aim of the book is to provide a new and fruitful approach to the challenging problems of modern physics, astrophysics, and cosmology. The well-known observations of the flat rotation curves of spiral galaxies and of the gravitational lensing effect greatly exceeding the expectations based on the classical GRT can be explained without bringing in the notion of dark matter. The Tully-Fisher law and the unusual features of globular clusters' motion become clear. It also turns out that new features appear in the cosmological picture that involves the Universe expansion and the acceleration of the latter. The theory and the first observational results of the specific galactic scale experiment based on the optical-metrical parametric resonance are also discussed in the book. Instead of the direct measurements of the extremely small gravitational waves, it appears sufficient just to register their action on the radiation of the space masers. It can be done for special cases when the source of the gravitational wave is strictly periodic and presents a close binary system. When the amount of data obtained in such observations is large enough, it would be possible to judge upon the geometrical properties of the space-time region enveloping our galaxy, the Milky Way. The foundations of the new approach stem from the equivalence principle which is the basics of the classical GRT. In order to make the presentation self-contained, the roots of century-old ideas are discussed again. This makes the book interesting not only to the specialists in the field but also to graduates and ambitious undergraduate students.
Author: Nathaniel S. Hellerstein
Publisher: World Scientific
ISBN: 981428713X
Category : Mathematics
Languages : en
Pages : 311
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Book Description
This book is about ?diamond?, a logic of paradox. In diamond, a statement can be true yet false; an ?imaginary? state, midway between being and non-being. Diamond's imaginary values solve many logical paradoxes unsolvable in two-valued Boolean logic. In this volume, paradoxes by Russell, Cantor, Berry and Zeno are all resolved. This book has three sections: Paradox Logic, which covers the classic paradoxes of mathematical logic, shows how they can be resolved in this new system; The Second Paradox, which relates diamond to Boolean logic and the Spencer?Brown ?modulator?; and Metamathematical Dilemma, which relates diamond to Gdelian metamathematics and dilemma games.
Author: Trevor H.J. Marchand
Publisher: Routledge
ISBN: 1134802293
Category : Social Science
Languages : en
Pages : 319
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Book Description
This volume brings together a cross-disciplinary group of anthropologists, researchers of craft, and designer-makers to enumerate and explore the diversity and complexity of problem-solving tactics and strategies employed by craftspeople, together with the key social, cultural, and environmental factors that give rise to particular ways of problem solving. Presenting rich, textured ethnographic studies of craftspeople at work around the world, Craftwork as Problem Solving examines the intelligent practices involved in solving a variety of problems and the ways in which these are perceived and evaluated both by makers and creators themselves, and by the societies in which they work. With attention to local factors such as training regimes and formal education, access to tools, socialisation and cultural understanding, budgetary constraints and market demands, changing technologies and materials, and political and economic regimes, this book sheds fresh light on the multifarious forms of intelligence involved in design and making, inventing and manufacturing, and cultivating and producing. As such, it will appeal to scholars of anthropology, sociology, and cultural geography, as well as to craftspeople with interests in creativity, skilful practice, perception and ethnography.
Author:
Publisher: BRILL
ISBN: 9004315209
Category : History
Languages : en
Pages : 382
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Book Description
This collective study focuses on a unique anonymous medieval document on ornamental geometry featuring geometrical constructions and textual instructions in Persian. Selections from the unpublished work of Alpay Özdural (d. 2003) on this subject have been updated with original contributions by Jan P. Hogendijk, Elaheh Kheirandish, Gülru Necipoğlu, and Wheeler M. Thackston. The chapters interpreting this fascinating document are followed, for the first time, by a facsimile, transcription, and translation, as well as drawings of incised construction lines invisible in the photographed facsimile. This publication intersects with the current interest in Islamic geometrical patterning as an inspiration for tessellation and parametrically derived forms in contemporary architecture and the arts. It aims to make this celebrated source more accessible, given its multifaceted relevance to historians of art, architecture, and science, as well as mathematicians, physicists, artists, and architects. For those who wish to obtain a copy of the full, unedited original book manuscript of Alpay Özdural, where he discusses the mathematical properties of all geometrical constructions in the Anonymous Compendium as well as the step-by-step method for drawing each one, his work is available online at https://doi.org/10.6084/m9.figshare.5255416
Author: David E. Radford
Publisher: World Scientific
ISBN: 9814335991
Category : Mathematics
Languages : en
Pages : 584
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Book Description
The book provides a detailed account of basic coalgebra and Hopf algebra theory with emphasis on Hopf algebras which are pointed, semisimple, quasitriangular, or are of certain other quantum groups. It is intended to be a graduate text as well as a research monograph.
