The Geometry of Art and Life

Author: Matila Costiescu Ghyka

Publisher: Courier Corporation

ISBN: 9780486235424

Category: Mathematics

Page: 174

View: 3852


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.


The Geometric Bridge between Art and Science

Author: Jay Kappraff

Publisher: World Scientific

ISBN: 9814491322

Category: Mathematics

Page: 520

View: 5862


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

Facial Geometry

Graphic Facial Analysis for Forensic Artists

Author: Robert M. George

Publisher: Charles C Thomas Publisher

ISBN: 0398077703

Category: Science

Page: 82

View: 4451


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.

The Culture of Nature in the History of Design

Author: Kjetil Fallan

Publisher: Routledge

ISBN: 0429891989

Category: Design

Page: 258

View: 7076


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.

CRC Concise Encyclopedia of Mathematics

Author: Eric W. Weisstein

Publisher: CRC Press

ISBN: 1420035223

Category: Mathematics

Page: 3252

View: 5680


Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

Leonardo on Art and the Artist

Author: Leonardo da Vinci

Publisher: Courier Corporation

ISBN: 048613752X

Category: Art

Page: 288

View: 5258


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.

Poetry, the Geometry of the Living Substance

Four Essays on Ágnes Nemes Nagy

Author: Agnes Lehoczky

Publisher: Cambridge Scholars Publishing

ISBN: 1443827444

Category: Poetry

Page: 205

View: 7480


Poetry, the Geometry of the Living Substance is the first serious and sustained study in English of one of the most important Hungarian writers of the 20th century, the modernist poet Ágnes Nemes Nagy. The book captures the dual nature of poetry, as a discourse of the infinite and the abyssal, through close readings of her poetry and prose. These four essays draw parallels between Ágnes Nemes Nagy and other thinkers and theorists, such as Rilke, Celan, Heidegger, Derrida, Beckett and Blanchot. The monograph explores the poetic paradigm changes of Nemes Nagy in her whole work, including her collections of poems, essays on poetics and other posthumous miscellaneous fragments. Drawing indirect parallels between the fields of poetics and epistemology, the central focus of the book is the parergonal relation between language and the external world, the psyche and the objective environment, trauma and memory within the poetic space.

The Geometry of an Art

The History of the Mathematical Theory of Perspective from Alberti to Monge

Author: Kirsti Andersen

Publisher: Springer Science & Business Media

ISBN: 9780387489469

Category: Mathematics

Page: 814

View: 1014


This review of literature on perspective constructions from the Renaissance through the 18th century covers 175 authors, emphasizing Peiro della Francesca, Guidobaldo del Monte, Simon Stevin, Brook Taylor, and Johann Heinrich. It treats such topics as the various methods of constructing perspective, the development of theories underlying the constructions, and the communication between mathematicians and artisans in these developments.

Cultivating Sacred Space

Gardening for the Soul

Author: Elizabeth Murray

Publisher: Pomegranate

ISBN: 9780764903601

Category: Gardening

Page: 160

View: 9385


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.