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
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