Fractal Geometry in Architecture and Design / Edition 1

Fractal Geometry in Architecture and Design / Edition 1

by Carl Bovill
     
 

ISBN-10: 0817637958

ISBN-13: 9780817637958

Pub. Date: 08/01/1995

Publisher: Birkhauser Verlag

Fractal geometry is the formal study of mathematical shapes that display a progression of never-ending, self-similar, meandering detail from large to small scales. It has the descriptive power to capture, explain, and enhance one's appreciation of and control over complex diversity. Natural shapes and rhythms, such as leaves, tree branching, mountain ridges, flood

Overview

Fractal geometry is the formal study of mathematical shapes that display a progression of never-ending, self-similar, meandering detail from large to small scales. It has the descriptive power to capture, explain, and enhance one's appreciation of and control over complex diversity. Natural shapes and rhythms, such as leaves, tree branching, mountain ridges, flood levels of a river, wave patterns, and nerve impulses, display this cascading behaviour. These fractal concepts are found in many fields, from physics to musical composition.
Architecture and design, concerned with control over rhythm, and with such fractal concepts as the progression of forms from a distant view down to the intimate details, can benefit from the use of this relatively new mathematical tool. Fractal geometry is a rare example of a technology that reaches into the core of design composition, allowing the architect or designer to express a complex understanding of nature.
The exposition of the book is at a level suitable for applied scientists, architects, and students with a modest background in mathematics. It is well illustrated and has numerous examples from which to learn the underlying concepts and their applications. Thus the book is addressed to a wide audience with a multiplicity of interests in new compositional ideas.

Product Details

ISBN-13:
9780817637958
Publisher:
Birkhauser Verlag
Publication date:
08/01/1995
Series:
Design Science Collection Series
Edition description:
1996
Pages:
195
Product dimensions:
0.56(w) x 7.00(h) x 10.00(d)

Table of Contents

1 Introduction.- 2 Basic Fractals.- 3 The Fractal Dimension.- 4 Feedback and Iteration.- 5 Random Fractals, Midpoint Displacement, and Curdling.- 6 Natural and Fractal Fluctuations in Time, Noise, and Music.- 7 Fractal Concepts Applied to Architectural and Design Criticism.- 8 Fractal Concepts Applied to Design Method.- References.

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