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Geometry And Its Applications In Arts Nature And Technology
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Book Synopsis Geometry and its Applications in Arts, Nature and Technology by : Georg Glaeser
Download or read book Geometry and its Applications in Arts, Nature and Technology written by Georg Glaeser and published by Springer Nature. This book was released on 2020-12-18 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book returns geometry to its natural habitats: the arts, nature and technology. Throughout the book, geometry comes alive as a tool to unlock the understanding of our world. Assuming only familiarity with high school mathematics, the book invites the reader to discover geometry through examples from biology, astronomy, architecture, design, photography, drawing, engineering and more. Lavishly illustrated with over 1200 figures, all of the geometric results are carefully derived from scratch, with topics from differential, projective and non-Euclidean geometry, as well as kinematics, introduced as the need arises. The mathematical results contained in the book range from very basic facts to recent results, and mathematical proofs are included although not necessary for comprehension. With its wide range of geometric applications, this self-contained volume demonstrates the ubiquity of geometry in our world, and may serve as a source of inspiration for architects, artists, designers, engineers, and natural scientists. This new edition has been completely revised and updated, with new topics and many new illustrations.
Book Synopsis Geometry and Its Applications by : Walter A. Meyer
Download or read book Geometry and Its Applications written by Walter A. Meyer and published by Elsevier. This book was released on 2006-02-21 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meyer's Geometry and Its Applications, Second Edition, combines traditional geometry with current ideas to present a modern approach that is grounded in real-world applications. It balances the deductive approach with discovery learning, and introduces axiomatic, Euclidean geometry, non-Euclidean geometry, and transformational geometry. The text integrates applications and examples throughout and includes historical notes in many chapters. The Second Edition of Geometry and Its Applications is a significant text for any college or university that focuses on geometry's usefulness in other disciplines. It is especially appropriate for engineering and science majors, as well as future mathematics teachers. Realistic applications integrated throughout the text, including (but not limited to): Symmetries of artistic patterns Physics Robotics Computer vision Computer graphics Stability of architectural structures Molecular biology Medicine Pattern recognition Historical notes included in many chapters
Book Synopsis Connections Between Mathematics, the Arts and Architecture by : Nicoletta Sala
Download or read book Connections Between Mathematics, the Arts and Architecture written by Nicoletta Sala and published by Nova Science Publishers. This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to analyze the interdisciplinary aspects of mathematics and geometry in reference to nature, art, and architecture.In Chapter 1, we introduce symmetry and its different meanings. Symmetry is a notion, which has been applied in the arts and architecture to find harmony and beauty. It joins aesthetics and practice, science and economy, mathematics and philosophy. In this chapter, we also analyze the influence of Vitruvius and the concept of old symmetry, received by the Renaissance. It is also interesting to note how in contemporary architecture there is often the presence of the "break" of symmetry (for example in the Frank O. Gehry's works).Chapter 2 explains how proportions, and in particular, the golden section, has introduced aesthetic canons that have strongly influenced many artists like Polycletus, and architects, from Ictinus to Le Corbusier.In Chapter 3, we discover how curves and spirals find their application in artistic works, for example in Mycenaean jewelry, and architectural works, from the Baroque of Francesco Borromini to the Land Art of Smithson.Chapter 4 presents the importance and influence that Platonic solids and polyhedrons have had on philosophy and art through different historical periods and different cultures. For instance, we look at how Platonic solids are connected to the theory of Empedocles' elements and Hippocrates' theory of humors.Chapter 5 describes surfaces, discovering how different cultures have used them in different manners, including Roman aqueducts, iron bridges, and finally arriving on modern structures that base their forms on hyperboloids and paraboloids.In Chapter 6, we introduce fractal geometry, as a geometry that tries to explain nature's irregular shapes, trying to overcome the limitations imposed by "old" Euclidean geometry. We also analyze how fractal geometry has influenced architecture in this century.
Book Synopsis The Fractal Geometry of Nature by : Benoit Mandelbrot
Download or read book The Fractal Geometry of Nature written by Benoit Mandelbrot and published by Echo Point Books & Media, LLC. This book was released on 2021-07-16 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a style that is accessible to a wide audience, The Fractal Geometry of Nature inspired popular interest in this emerging field. Mandelbrot's unique style, and rich illustrations will inspire readers of all backgrounds.
Book Synopsis The Pattern Book: Fractals, Art And Nature by : Clifford A Pickover
Download or read book The Pattern Book: Fractals, Art And Nature written by Clifford A Pickover and published by World Scientific. This book was released on 1995-06-09 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will allow you to travel through time and space. To facilitate your journey, the editor has scoured the four corners of the earth in a quest for unusual people and their fascinating patterns. From Mozambique, to Asia, to many European countries, the contributors to The Pattern Book include world-famous cancer researchers, little-known artists and eclectirc computer programmers. Some of the patterns are ultramodern, while others are centuries old. Many of the patterns are drawn from the universe of mathematics. Computer recipes are scattered throughout.Although the emphasis is on computer-generated patterns, the book is informal and the intended audience spans several fields. The emphasis is on the fun that the true pattern lover finds in doing, rather than in reading about the doing! The book is organized into three main parts: Representing Nature (for those patterns which describe or show real physical phenomena, e.g., visualizations of protein motion, sea lilies, etc.), Mathematics and Symmetry (for those patterns which describe or show mathematical behavior, e.g. fractals), and Human Art (for those patterns which are artistic works of humans and made without the aid of a computer, e.g. Moslem tiling patterns.)
Book Synopsis The Geometry of Art and Life by : Matila Costiescu Ghyka
Download or read book The Geometry of Art and Life written by Matila Costiescu Ghyka and published by Courier Corporation. This book was released on 1977-01-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic study probes the geometric interrelationships between art and life in discussions ranging from dissertations by Plato, Pythagoras, and Archimedes to examples of modern architecture and art. Other topics include the Golden Section, geometrical shapes on the plane, geometrical shapes in space, crystal lattices, and other fascinating subjects. 80 plates and 64 figures.
Book Synopsis Geometry for the Artist by : Catherine A. Gorini
Download or read book Geometry for the Artist written by Catherine A. Gorini and published by CRC Press. This book was released on 2023-05-26 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry for the Artist is based on a course of the same name which started in the 1980s at Maharishi International University. It is aimed both at artists willing to dive deeper into geometry and at mathematicians open to learning about applications of mathematics in art. The book includes topics such as perspective, symmetry, topology, fractals, curves, surfaces, and more. A key part of the book’s approach is the analysis of art from a geometric point of view—looking at examples of how artists use each new topic. In addition, exercises encourage students to experiment in their own work with the new ideas presented in each chapter. This book is an exceptional resource for students in a general-education mathematics course or teacher-education geometry course, and since many assignments involve writing about art, this text is ideal for a writing-intensive course. Moreover, this book will be enjoyed by anyone with an interest in connections between mathematics and art. Features Abundant examples of artwork displayed in full color Suitable as a textbook for a general-education mathematics course or teacher-education geometry course Designed to be enjoyed by both artists and mathematicians
Book Synopsis Experiencing Geometry, Physics, and Biology by : Georg Glaeser
Download or read book Experiencing Geometry, Physics, and Biology written by Georg Glaeser and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-11-20 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometrie, Physik und Biologie verstehen Das vorliegende Buch ist ein lehrreiches und reich bebildertes Sachbuch, das naturwissenschaftliche Inhalte auf anschauliche und verständliche Weise vermittelt. Anhand zahlreicher Beispiele erläutert es Themen aus Geometrie, Physik und Biologie und zeigt Gemeinsamkeiten zwischen den Disziplinen auf. Das Buch enthält rund 300 Links zu Videoanimationen; weiters steht eine frei zugängliche interaktive Software zur Verfügung, zur weiteren Vertiefung der Inhalte. Die Inhalte des Buches, die Videos und die Software wurden am Institut für Geometrie an der Universität für angewandte Kunst Wien entwickelt: Georg Glaeser forscht insbesondere zu interdisziplinären mathematischen und biologischen Fragestellungen und arbeitete viele Jahre gemeinsam mit Franz Gruber, einem Meister im Visualisieren komplexer Sachverhalte. Enthält Links zu rund 300 Videoanimationen, abrufbar über QR-Codes Kompakte, informative und leicht verständliche Erklärungen zu naturwissenschaftlichen Fragestellungen aus den Bereichen Geometrie, Physik und Biologie Mit zahlreichen Abbildungen und Illustrationen
Book Synopsis Doors to Hidden Worlds by : Alfred Vendl
Download or read book Doors to Hidden Worlds written by Alfred Vendl and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-10-04 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: 40 years of science visualization The visualization of often-encrypted data reveals new, previously hidden, but quite real worlds to humankind. Art adopts these insights and uses them to create new dimensions. This book brings together a wide range of contributions on visualization in science, media, and art. Renowned experts and associates of the Science Visualization Lab at the University of Applied Arts Vienna present examples of outstanding and innovative visualization projects and provide insight into their working methods. The book follows a variety of approaches to expanding perception and rendering the invisible visible. “If the doors of perception were cleansed, every thing would appear to man as it is, infinite.” – William Blake Insight into the thinking and working methods of renowned scientists, media experts, and artists Lavish publication with numerous illustrations and AR features With contributions by Ina Conradi / Mark Chavez, Christian Köberl, Walter Köhler, Thomas Matzek, Markus Müller, Ruth Schnell, Victoria Vesna / James K. Gimzewski, Manfred Wakolbinger, and others
Book Synopsis Pi (π) in Nature, Art, and Culture by : Marcel Danesi
Download or read book Pi (π) in Nature, Art, and Culture written by Marcel Danesi and published by BRILL. This book was released on 2020-12-07 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Pi (π) in Nature, Art, and Culture Marcel Danesi investigates the manifestations of π in science, nature, symbolism, and culture, arguing that these are intrinsically intertwined.
Book Synopsis Nature and Numbers by : Georg Glaeser
Download or read book Nature and Numbers written by Georg Glaeser and published by Birkhäuser. This book was released on 2013-12-18 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians with special interest in biology, physics, geography, astronomy, architecture, design, etc., and being prepared to take pictures at any time, might try to answer unusual questions like the followings: What do a zebra, a tiger shark, and a hard coral have in common? How is this with drying mud, wings of dragon flies, and the structures of leaves? What is the “snail king” and is there also a “worm king”? Which curves stay of the same type after being photographed? Do fishes see like we do if we look through a fisheye lens? Which geometric properties of an object have physical consequences? Which kinds of geometric patterns appear when waves are interfering? In this book you can find 180 double pages with at least as many questions of this kind. The principle to attack a problem is often similar: It starts with a photo that is for some reasons remarkable. In a short description an explanation is offered, including relevant Internet links. Additionally one can frequently find computer simulations in order to illustrate and confirm.
Book Synopsis The Visual Language of Technique by : Luigi Cocchiarella
Download or read book The Visual Language of Technique written by Luigi Cocchiarella and published by Springer. This book was released on 2015-03-14 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is inspired by the first seminar in a cycle connected to the celebrations of the 150th anniversary of the Politecnico di Milano. "Dealing with the Image Ivory Towers and Virtual Bridges" was the motto of this meeting, aiming to stimulate a discussion among engineers, designers and architects, all of whom are traditionally involved in the use of the Image as a specialized language supporting their work, their research activities and their educational tasks. The book will also include the essays of invited or interviewed authors from other disciplines, namely Philosophy, Mathematics and Semiotics. According to Regis Debray, in the present "Visual Age", which he has significantly defined as a "Video-Sphere", all the information tends to be processed and controlled by means of visual devices. This occurs especially in the various branches of many technical studies and activities, one of the most sensitive areas to the use of Visual Language in the past and even more in the present.
Book Synopsis The Universe of Conics by : Georg Glaeser
Download or read book The Universe of Conics written by Georg Glaeser and published by Springer. This book was released on 2016-03-22 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents the classical theory of conics in a modern form. It includes many novel results that are not easily accessible elsewhere. The approach combines synthetic and analytic methods to derive projective, affine and metrical properties, covering both Euclidean and non-Euclidean geometries. With more than two thousand years of history, conic sections play a fundamental role in numerous fields of mathematics and physics, with applications to mechanical engineering, architecture, astronomy, design and computer graphics. This text will be invaluable to undergraduate mathematics students, those in adjacent fields of study, and anyone with an interest in classical geometry. Augmented with more than three hundred fifty figures and photographs, this innovative text will enhance your understanding of projective geometry, linear algebra, mechanics, and differential geometry, with careful exposition and many illustrative exercises.
Book Synopsis A Course in Morphometrics for Biologists by : Fred L. Bookstein
Download or read book A Course in Morphometrics for Biologists written by Fred L. Bookstein and published by Cambridge University Press. This book was released on 2018-10-04 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book builds a much-needed bridge between biostatistics and organismal biology by linking the arithmetic of statistical studies of organismal form to the biological inferences that may follow from it. It incorporates a cascade of new explanations of regression, correlation, covariance analysis, and principal components analysis, before applying these techniques to an increasingly common data resource: the description of organismal forms by sets of landmark point configurations. For each data set, multiple analyses are interpreted and compared for insight into the relation between the arithmetic of the measurements and the rhetoric of the subsequent biological explanations. The text includes examples that range broadly over growth, evolution, and disease. For graduate students and researchers alike, this book offers a unique consideration of the scientific context surrounding the analysis of form in today's biosciences.
Book Synopsis Digital Wood Design by : Fabio Bianconi
Download or read book Digital Wood Design written by Fabio Bianconi and published by Springer. This book was released on 2019-02-24 with total page 1525 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores various digital representation strategies that could change the future of wooden architectures by blending tradition and innovation. Composed of 61 chapters, written by 153 authors hailing from 5 continents, 24 countries and 69 research centers, it addresses advanced digital modeling, with a particular focus on solutions involving generative models and dynamic value, inherent to the relation between knowing how to draw and how to build. Thanks to the potential of computing, areas like parametric design and digital manufacturing are opening exciting new avenues for the future of construction. The book’s chapters are divided into five sections that connect digital wood design to integrated approaches and generative design; to model synthesis and morphological comprehension; to lessons learned from nature and material explorations; to constructive wisdom and implementation-related challenges; and to parametric transfigurations and morphological optimizations.
Download or read book Math Tools written by Georg Glaeser and published by Springer. This book was released on 2017-09-13 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, topics such as algebra, trigonometry, calculus and statistics are brought to life through over 500 applications ranging from biology, physics and chemistry to astronomy, geography and music. With over 600 illustrations emphasizing the beauty of mathematics, Math Tools complements more theoretical textbooks on the market, bringing the subject closer to the reader and providing a useful reference to students. By highlighting the ubiquity of mathematics in practical fields, the book will appeal not only to students and teachers, but to anyone with a keen interest in mathematics and its applications.
Book Synopsis Architectural Drawing by : Rendow Yee
Download or read book Architectural Drawing written by Rendow Yee and published by John Wiley & Sons. This book was released on 2012-08-21 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classic architectural drawing compendium— now in a richly updated edition Today's most comprehensive compendium of architectural drawing types and methods, both hand drawn and computer generated, Architectural Drawing: A Visual Compendium of Types and Methods remains a one-of-a-kind visual reference and an outstanding source of guidance and inspiration for students and professionals at every level. This Fourth Edition has been thoroughly updated to reflect the growing influence of digital drawing. Features include: More than 1,500 drawings and photographs that demonstrate the various principles, methods, and types of architectural drawing Examples by an impressive array of notable architects and firms, including Tadao Ando, Asymptote, Santiago Calatrava, Coop Himmelb(l)au, Norman Foster, Frank Gehry, Zaha Hadid, Steven Holl, Arata Isozaki, Toyo Ito, Gudmundur Jonsson, Kohn Pedersen Fox, Ricardo Legorreta, Morphosis, Patkau Architects, Pei Partnership Architects LLP, Renzo Piano, Antoine Predock, SANAA, David Serero, Studio Daniel Libeskind, Studio Gang, Bing Thom, Tod Williams and Billie Tsien, and UN Studio A brand new chapter, "Introduction to the Digital-Manual Interface" which covers how digital and traditional drawing techniques can be used in conjunction with each other A new chapter on guidelines for portfolio building Content organized in a streamlined, easy-to-use fashion Supplementary online instructor resources, including PowerPoint slides tied to the book "This volume reveals how architects approach drawing as a process wherein ideas are given form. As a tool for teaching, these examples become important in students' understanding of the formal and technical aspects of design thought. In an age of digital technologies, this work emphasizes the intimate relationship that exists between the drawing and its maker, the process between paper, hand, and mind." —LaRaine Papa Montgomery, Professor of Architecture/Graphics Coordinator, Savannah College of Art and Design "This book contains a wealth of information on architectural graphic communication. My students have found this to be an invaluable resource for graphic presentation techniques ranging from traditional hand drawing to advanced computer graphics. It features an amazingly wide range of examples including both student work and professional work by renowned architects. With the addition of a new chapter on portfolio design, this new edition illustrates the full gamut of graphic communication skills from the conceptual sketch through the documentation of the final portfolio." —Mark A. Pearson, AIA, LEED AP, Associate Professor of Architecture, College of DuPage "This book should be in the library of all architecture and design students as well as practicing professionals. The richness and variety of hand-drawn and digital illustrations by students and architects offers deep insight into the many drawing types and methods used today. The section on portfolios is a helpful and timely addition." —Professor Michael Hagge, Chair, Department of Architecture, The University of Memphis
