The Geometry of Environment : An Introduction to Spatial Organization in Design book cover
1st Edition

The Geometry of Environment
An Introduction to Spatial Organization in Design

ISBN 9780367360245
Published September 30, 2021 by Routledge
364 Pages

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Book Description

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.

Table of Contents

Foreword, Sir Leslie Martin


1 Mappings and Transformations

2. Translations, Rotations and Reflections

3. Symmetry Groups in the Plane

4. Matrices and Vectors

5. Point Sets and Modular Spaces

6. Stacking, Nesting and Fitting

7. Irregular Polygons and Convexity

8. Modules and Numbers

9. Proportions and Series

10. Planar Graphs and Relations

11. Electrical Networks and Mosaics of Rectangles

12. Locations and Associations

13. Spatial Allocation Procedures

14. Networks, Distances and Routes

Guide to Further Reading

Mathematical Notation


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