The Geometry of Art and Life

Author: Matila Costiescu Ghyka

Publisher: Courier Corporation

ISBN: 9780486235424

Category: Mathematics

Page: 174

View: 8977

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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.

Geometry of Design

Author: Kimberly Elam

Publisher: Princeton Architectural Press

ISBN: 9781568985848

Category: Architecture

Page: 107

View: 6586

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Kimberly Elam fA1/4hrt den Leser auf eine geometrische Reise und gibt Einsicht in den Designprozess, indem sie visuelle Beziehungen untersucht, die sowohl auf mathematischen Prinzipien als auch auf grundlegenden Eigenschaften des Lebens basieren. Elams ErklArungen machen die mathematischen Beziehungen, die sich hinter diesen Designs verbergen, offensichtlich, und ihre EinfA1/4hrung in die Technik der visuellen Analyse macht dieses Buch zu einer unerlAsslichen Hilfe fA1/4r jeden, der grafisch arbeitet. Die Autorin behandelt dabei nicht nur die klassischen Proportionierungssysteme wie den Goldenen Schnitt und wurzelbasierte Rechtecke, sondern auch weniger bekannte Systeme wie z.B. die Fibonaccifolge.

Connections

The Geometric Bridge between Art and Science

Author: Jay Kappraff

Publisher: World Scientific

ISBN: 9814491322

Category: Mathematics

Page: 520

View: 3413

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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. Contents: Proportion in ArchitectureSimilarityThe Golden MeanGraphsTilings with PolygonsTwo-Dimensional Networks and LatticesPolyhedra: Platonic SolidsTransformation of the Platonic Solids ITransformation of the Platonic Solids IIPolyhedra: Space FillingIsometries and MirrorsSymmetry of the Plane Readership: Polytechnic students, architects, designers, mathematicians and general readers. Keywords:Design Science;Art;Architecture;Geometry;Polyhedra;Tilings;Graph Theory;Symmetry;Proportion;Golden MeanReviews: “This book, on the mathematics of natural and artful form, is a lively new entrant to the small shelf of those fine works.” Scientific American “If I had only one book in my library to which I refer for mathematics questions in art and architecture, this would be the one.” Nexus Network Journal “A worthy volume rediscovers the golden mean for readers in the postgeometry generation.” BYTE “… Kappraff's book is nothing less than the first textbook of design science.”Bulletin of the Buckminster Fuller Institute “This is no less than an early and strong move toward implementing Buckminster Fuller's call for a Comprehensive Anticipatory Design Science. Even a less-than-rigorous reading will convince you that something important is being presented here.” Whole Earth Review “For the visually oriented person with a hunger to understand pattern, Connections can be a bridge to a new world.” American Journal of Physics “A spectacular presentation of design science — ‘the grammar of space’ — that explores with rich details instances of similarity, proportion, tilings, graphs, lattices, polyhedra, isometries, and symmetry in art, architecture, engineering, and science. Punctuated with exercises and problems (thus making the monograph useful as a course or seminar text); illustrated with over 200 figures; supported by an extensive multi-disciplinary bibliography that is well-referenced to the text. A superb option for interdisciplinary seminars.” American Mathematical Monthly

Der George-Kreis und die Theosophie

Mit einem Exkurs zum Swastika-Zeichen bei Helena Blavatsky, Alfred Schuler und Stefan George

Author: Jan Stottmeister

Publisher: Wallstein Verlag

ISBN: 3835323393

Category: Literary Criticism

Page: 432

View: 7309

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Eine wichtige Studie zum George-Kreis, der in einem bislang unbekanntem Ausmaß von der Theosophie geprägt wurde. Die Theosophische Gesellschaft war die kulturgeschichtlich einflussreichste esoterische Institution des frühen 20. Jahrhunderts. Ihre Lehren vermengten Elemente indischer Religionen und des europäischen Okkultismus zu einer religiös grundierten Weltanschauung, die vor allem bei Künstlern, Intellektuellen und sozialen Eliten Anklang fand. Die Wirkungsgeschichte der Theosophie prägt auch die Geschichte des Kreises um den Dichter Stefan George. Sie ist nachweisbar in der Symbolik, mit der Georges Buchgestalter Melchior Lechter die Publikationen des Kreises versah, und im Mitgliedsregister der Theosophischen Gesellschaft, das neben Lechter auch Karl Wolfskehl und andere George-Anhänger verzeichnet. Während Zeitgenossen wie Ernst Bloch versuchten, George mit der Theosophie zu vereinbaren, begann George selbst die weltanschauliche Identität seines Kreises ab 1910 durch programmatische Abgrenzungen von der Theosophie zu konturieren. Ein Motiv dieser Abgrenzungen ist die Konkurrenz, die seine poetische Messiasfigur Maximin durch die theosophische Messiasfigur Krishnamurti erhielt. Den George-Kreis und die Theosophische Gesellschaft verbindet auch die Verwendung der Swastika als Erkennungsmarke. Im Anhang des Bandes wird dieser Zusammenhang im Kontext der westlichen Deutungsgeschichte des Zeichens, das heute nur noch als NSDAP-Hakenkreuz wahrnehmbar ist, untersucht.

The Culture of Nature in the History of Design

Author: Kjetil Fallan

Publisher: Routledge

ISBN: 0429891989

Category: Design

Page: 258

View: 574

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The Culture of Nature in the History of Design confronts the dilemma caused by design’s pertinent yet precarious position in environmental discourse through interdisciplinary conversations about the design of nature and the nature of design. Demonstrating that the deep entanglements of design and nature have a deeper and broader history than contemporary discourse on sustainable design and ecological design might imply, this book presents case studies ranging from the eighteenth to the twenty-first century and from Singapore to Mexico. It gathers scholarship on a broad range of fields/practices, from urban planning, landscape architecture, and architecture, to engineering design, industrial design, furniture design and graphic design. From adobe architecture to the atomic bomb, from the bonsai tree to Biosphere 2, from pesticides to photovoltaics, from rust to recycling – the culture of nature permeates the history of design. As an activity and a profession always operating in the borderlands between human and non-human environments, design has always been part of the environmental problem, whilst also being an indispensable part of the solution. The book ventures into domains as diverse as design theory, research, pedagogy, politics, activism, organizations, exhibitions, and fiction and trade literature to explore how design is constantly making and unmaking the environment and, conversely, how the environment is both making and unmaking design. This book will be of great interest to a range of scholarly fields, from design education and design history to environmental policy and environmental history.

Facial Geometry

Graphic Facial Analysis for Forensic Artists

Author: Robert M. George

Publisher: Charles C Thomas Publisher

ISBN: 0398077703

Category: Science

Page: 82

View: 2990

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Forensic art may be defined as 'portrait art minus a tangible subject.' The main objective of this book is to present a series of practical indices interrelating the key features of the human face that will provide a foundation for any exercise in forensic art from composite sketch to post-mortem 're-facing.' These indices are illustrated with a survey of the numerous and often surprising geometric forms that permeate facial design. The various triangles and rectangles, rhomboids and trapezoids, parallelograms and circles that define the human face (the theme) and give it individuality (variations on the theme) are examined. The chapters provide necessary information to define the cephalometric points, planes, areas and lines that demarcate the human face, including the detailed surface anatomy of the eye, nose, mouth and ear. The underlying geometry of the human facial plan is revealed, illustrating a selection of triangles, rectangles, and other polygons. The graphic facial analysis (GFA) of the frontal face is covered, with sixteen indices and triangles defining and illustrating their means and ranges of variation. The GFA details the lateral face by means of eight angles and indices with special attention given to the nose and ear. With 45 illustrations and two tables in this clear and comprehensive text, this book leaves little to the imagination and is truly a unique treatise and source of information.

Leonardo on Art and the Artist

Author: Leonardo da Vinci

Publisher: Courier Corporation

ISBN: 048613752X

Category: Art

Page: 288

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Systematic grouped passages of Leonardo's writings concerning painting, focusing on problems of interpretation. More than an anthology, it offers a reconstruction of the underlying meaning of Leonardo's words. Introductions, notes, bibliography, reference materials. Over 125 black-and-white illustrations.

Weaver of Worlds

From Navajo Apprenticeship to Sacred Geometry and Dreams : a Woman's Journey in Tapestry

Author: David Jongeward

Publisher: Inner Traditions / Bear & Co

ISBN: 9780892812707

Category: Body, Mind & Spirit

Page: 176

View: 809

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Describes how Carolyn Jongeward became a weaver, and discusses her use of sacred geometry, number symbolism, native American philosophy, and creation mythology in her work.

Cultivating Sacred Space

Gardening for the Soul

Author: Elizabeth Murray

Publisher: Pomegranate

ISBN: 9780764903601

Category: Gardening

Page: 160

View: 8372

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Linda Greenlaw hadn't been blue-water fishing for ten years, since the great events chronicled in The Perfect Storm and The Hungry Ocean, when an old friend offered her the captaincy on his boat, Seahawk, for a season of swordfishing. She took the bait, of course, and thus opened a new chapter in a life that had already seen enough adventure for three lifetimes.The Seahawk turns out to be the rustiest of buckets, with sprung, busted, and ancient equipment guaranteed to fail at any critical moment. Life is never dull out on the Grand Banks, and no one is better at capturing the flavor and details of the wild ride that is swordfishing, from the technical complexities of longline fishing and the nuances of reading the weather and waves to the sheer beauty of the open water. The trip is full of surprises, "a bit hardier and saltier than I had hoped for," but none more unexpected than when the boat's lines inadvertently drift across the Canadian border and she lands in jail. Seaworthy is about nature -- human and other; about learning what you can control and what you do when fate takes matters out of your control. It's about how a middle-aged woman who sets a high bar for herself copes with challenge and change and frustration, about the struggle to succeed or fail on your own terms, and above all, about learning how to find your true self when you're caught between land and sea.

The Extraterrestrial Life Debate, 1750-1900

Author: Michael J. Crowe

Publisher: Courier Corporation

ISBN: 0486145018

Category: Science

Page: 704

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Detailed, scholarly study examines the ideas that developed between 1750 and 1900 regarding the existence of intelligent extraterrestrial life, including those of Kant, Herschel, Voltaire, Lowell, many others. 16 illustrations.

Introduction to Crystallography

Author: Donald E. Sands

Publisher: Courier Corporation

ISBN: 0486136809

Category: Science

Page: 192

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Clear, concise explanation of logical development of basic crystallographic concepts. Topics include crystals and lattices, symmetry, x-ray diffraction, and more. Problems, with answers. 114 illustrations. 1969 edition.

The Drawings of Heinrich Kley

Author: H. Kley

Publisher: Courier Corporation

ISBN: 0486136612

Category: Art

Page: 128

View: 9991

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Irreverent, bizarre, whimsical, and mocking, these 200 pen-and-ink sketches date from the early 20th century. They blend savage humor with brilliant draughtsmanship in depictions of humans, animals, and curious combinations of the two.

A Short Account of the History of Mathematics

Author: W. W. Rouse Ball

Publisher: Courier Corporation

ISBN: 0486157849

Category: Mathematics

Page: 560

View: 5800

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This standard text treats hundreds of figures and schools instrumental in the development of mathematics, from the Phoenicians to such 19th-century giants as Grassman, Galois, and Riemann.

Electrodynamics and Classical Theory of Fields & Particles

Author: Asim Orhan Barut

Publisher: Courier Corporation

ISBN: 9780486640389

Category: Science

Page: 235

View: 7245

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The first comprehensive treatment of relativistic electrodynamics, this volume remains essential reading. This graduate-level text was written by a distinguished theoretical physicist. It deftly reveals the classical underpinnings of modern quantum field theory with explorations of space-time, Lorentz transformations, conservation laws, equations of motion, Green’s functions, and action-at-a-distance electrodynamics. 1964 edition.

Journey to Awareness and Beyond

With Modern Technology and Ancient Wisdom

Author: Liana Mattulich MD

Publisher: Xlibris Corporation

ISBN: 1469102129

Category: Self-Help

Page: 214

View: 3411

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An enriched view of personal reality drawing from medical and theoretical sciences as well as the esoteric, combining modern experimental science with ancient wisdom which provide keys to the physiology of happiness: Anatomy and Physiology of Mind-Body concepts and the Body Energy Spectrum, Consciousness and the Mind, Dimensional reality, personal reality and time, Spiritual evolution and the soul, Happiness as a self-regulated mind and physiology. A reading experience with an open perspective from human life and mind -- to matter and energies. The book describes for a layman or a professional the weaving of metaphors, exercises and scientific procedures which promote joy in life and the realization of inner freedom. Comprehensive references of both scientific research and empirical experience are provided. Experience proven approaches to joy of well-being of body and mind: subtle energies and Energy Psychology, Meridian physiology in Eastern & Western health practices; Understanding the self, personal direction, goals, and change; Psychology of success, intention, High Will, imagery, inspiration and motivation. Learn leadership qualities, communication skills, assertiveness, and Responsible Open Self-Expression used in managing personal relationships. This is the only book that amalgamates scientific technology with ancient wisdom practices in an integrated system of self-transformation going beyond intellectual and philosophical information alone. More information: www.JourneyToAwareness.org -OR- www.InnerKeys.info

Exploring the Moon Through Binoculars and Small Telescopes

Author: Ernest H. Cherrington

Publisher: Courier Corporation

ISBN: 0486150771

Category: Science

Page: 240

View: 8928

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DIVInformative, profusely illustrated guide to locating and identifying craters, rills, seas, mountains, other lunar features. Newly revised and updated with special section of new photos. Over 100 photos and diagrams. /div

A Guide to Feynman Diagrams in the Many-Body Problem

Second Edition

Author: Richard D. Mattuck

Publisher: Courier Corporation

ISBN: 0486131645

Category: Science

Page: 464

View: 1449

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Superb introduction for nonspecialists covers Feynman diagrams, quasi particles, Fermi systems at finite temperature, superconductivity, vacuum amplitude, Dyson's equation, ladder approximation, and more. "A great delight." — Physics Today. 1974 edition.