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Geometry of Design

Author : Kimberly Elam
Publisher : Princeton Architectural Press
Page : 130 pages
File Size : 45,49 MB
Release : 2001
Category : Architecture
ISBN : 9781568982496

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This work takes a close look at a broad range of 20th-century examples of design, architecture and illustration, revealing underlying geometric structures in their compositions.

Geometry of Design, Revised and Updated

Author : Kimberly Elam
Publisher : Princeton Architectural Press
Page : 0 pages
File Size : 35,50 MB
Release : 2011-08-31
Category : Architecture
ISBN : 9781616890360

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At last, a mathematical explanation of how art works presented in a manner we can all understand. Kimberly Elam takes the reader on a geometrical journey, lending insight and coherence to the design process by exploring the visual relationships that have foundations in mathematics as well as the essential qualities of life. Geometry of Design takes a close look at a broad range of twentieth-century examples of design, architecture, and illustration (from the Barcelona chair to the paintings of Georges Seurat, from the Braun hand blender to the Conico kettle), revealing underlying geometric structures in their compositions. Explanations and techniques of visual analysis make the inherent mathematical relationships evident and a must-have for anyone involved in art, design, or architecture graphic arts. The book focuses not only on the classic systems of proportioning, such as the golden section and root rectangles, but also on less well known proportioning systems such as the Fibonacci Series. Through detailed diagrams these geometric systems are brought to life giving an effective insight into the design process.

Fractal Geometry in Architecture and Design

Author : Carl Bovill
Publisher : Springer Science & Business Media
Page : 200 pages
File Size : 46,84 MB
Release : 2013-03-11
Category : Mathematics
ISBN : 1461208432

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na broad sense Design Science is the grammar of a language of images Irather than of words. Modern communication techniques enable us to transmit and reconstitute images without needing to know a specific verbal sequence language such as the Morse code or Hungarian. International traffic signs use international image symbols which are not specific to any particular verbal language. An image language differs from a verbal one in that the latter uses a linear string of symbols, whereas the former is multi dimensional. Architectural renderings commonly show projections onto three mutual ly perpendicular planes, or consist of cross sections at different altitudes capa ble of being stacked and representing different floor plans. Such renderings make it difficult to imagine buildings comprising ramps and other features which disguise the separation between floors, and consequently limit the cre ative process of the architect. Analogously, we tend to analyze natural struc tures as if nature had used similar stacked renderings, rather than, for instance, a system of packed spheres, with the result that we fail to perceive the system of organization determining the form of such structures. Perception is a complex process. Our senses record; they are analogous to audio or video devices. We cannot, however, claim that such devices perceive.

The Geometry of Environment

Author : Lionel March
Publisher : Routledge
Page : 492 pages
File Size : 44,61 MB
Release : 2020-10-31
Category : Architecture
ISBN : 100069111X

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Originally published in 1971 The Geometry of Environment is a fusion of art and mathematics introducing stimulating ideas from modern geometry, using illustrations from architecture and design. The revolution in the teaching of mathematics and the advent of the computer in design challenge traditional ways of appreciating the space about us, and expand the ‘structural’ understanding of our surroundings through such concepts as transformations, symmetry groups, sets and graphs. This book aims to show the relevance of ‘new maths’ and encourages exploration of the widening intellectual horizons of environmental design and architecture.

The Geometry of Creation

Author : Robert Bork
Publisher : Routledge
Page : 783 pages
File Size : 15,21 MB
Release : 2016-12-05
Category : History
ISBN : 1351888978

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The flowering of Gothic architecture depended to a striking extent on the use of drawing as a tool of design. By drawing precise "blueprints" with simple tools such as the compass and straightedge, Gothic draftsmen were able to develop a linearized architecture of unprecedented complexity and sophistication. Examination of their surviving drawings can provide valuable and remarkably intimate information about the Gothic design process. Gothic drawings include compass pricks, uninked construction lines, and other telltale traces of the draftsman's geometrically based working method. The proportions of the drawings, moreover, are those actually intended by the designer, uncompromised by errors introduced in the construction process. All of these features make these drawings ideal subjects for the study of Gothic design practice, but their geometry has to date received little systematic attention. This book offers a new perspective on Gothic architectural creativity. It shows, in a series of rigorous geometrical case studies, how Gothic design evolved over time, in two senses: in the hours of the draftsman's labor, and across the centuries of the late Middle Ages. In each case study, a series of computer graphics show in unprecedented detail how a medieval designer could have developed his architectural concept step by step, using only basic geometrical operations. Taken together, these analyses demonstrate both remarkable methodological continuity across the Gothic era, and the progressive development of new and sophisticated permutations on venerable design themes. This rich tradition ultimately gave way in the Renaissance not because of any inherent problem with Gothic architecture, but because the visual language of Classicism appealed more directly to the pretensions of Humanist princes than the more abstract geometrical order of Gothic design, as the book's final chapter demonstrates.

Islamic Design

Author : Daud Sutton
Publisher : eBook Partnership
Page : 64 pages
File Size : 10,16 MB
Release : 2018-04-01
Category : Art
ISBN : 1912706032

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Across the Islamic world, illuminating Korans from Morocco to Malaysia, and adorning mosques, mausoleums and palaces, are hidden some of the most exquisite geometrical devices ever conceived by man. In this excellent little book, geometer Daud Sutton unravels the mystery of Islamic patterns, explaining where they come from, how to draw them, and hinting at the Divine messages they encode. WOODEN BOOKS are small but packed with information. "e;Fascinating"e; FINANCIAL TIMES. "e;Beautiful"e; LONDON REVIEW OF BOOKS. "e;Rich and Artful"e; THE LANCET. "e;Genuinely mind-expanding"e; FORTEAN TIMES. "e;Excellent"e; NEW SCIENTIST. "e;Stunning"e; NEW YORK TIMES. Small books, big ideas.

Geometry Processing for Design and Manufacturing

Author : Robert E. Barnhill
Publisher : SIAM
Page : 207 pages
File Size : 49,19 MB
Release : 1992-01-01
Category : Mathematics
ISBN : 0898712807

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This text includes papers covering topics in geometry processing applications, such as surface-surface intersections and offset surfaces. Present methods fundamental to geometric modelling are highlighted.

Computation as Design

Author : Andrew Witt
Publisher : Canadian Centre for Architecture
Page : 88 pages
File Size : 11,17 MB
Release : 2019-04-01
Category : Computer graphics
ISBN : 1927071690

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The second in the Studies in the Design Laboratory epub series produced by the Harvard University Graduate School of Design and the CCA, this publication traces the development of complex computational geometry in the work of Ron Resch. Resch’s strikingly novel generative methods laid the seeds of computational origami, and during the early 1970’s he collaborated in the pioneering computer science department of the University of Utah, a hotbed of early computer graphics. Featuring interviews with Resch’s collaborators, excerpts from his remarkable films, and a consideration of the role of the architect in cross-disciplinary laboratories, this epub argues for Resch as one of the first true computational designers.

Alt.fractals

Author : Eric Baird
Publisher : Chocolate Tree Books
Page : 233 pages
File Size : 42,30 MB
Release : 2011
Category : Design
ISBN : 0955706831

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"Where most books on fractals concentrate on mathematical theory, Alt. Fractals takes a graphical approach. starting with the fractal "standards"--The Sierpinski Triangle and Pyramid, Menger Sponge, Julia Mandelbrot sets - Alt. Fractals explores the world of variations one step removed from the usual textbook versions."--Back cover.

The Geometry of Art and Life

Author : Matila Costiescu Ghyka
Publisher : Courier Corporation
Page : 212 pages
File Size : 40,95 MB
Release : 1977-01-01
Category : Mathematics
ISBN : 9780486235424

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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.