1st Edition

The Geometry of Environment An Introduction to Spatial Organization in Design

By Lionel March, Philip Steadman Copyright 1971
    364 Pages
    by Routledge

    364 Pages
    by Routledge

    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.

    Foreword, Sir Leslie Martin

    Preface

    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

    Index

    Biography

    Lionel March, Phillip Steadman