The Geometry of Environment

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.

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.

Autorentext

Lionel March, Phillip Steadman

Klappentext

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.

Inhalt

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