ABSTRACT

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.

chapter 1|22 pages

Mappings and transformations

chapter 2|21 pages

Translations, rotations and reflections

chapter 3|31 pages

Symmetry groups in the plane

chapter 4|34 pages

Matrices and vectors

chapter 5|24 pages

Point sets and modular spaces

chapter 6|33 pages

Stacking, nesting and fitting

chapter 7|21 pages

Irregular polygons and convexity

chapter 8|23 pages

Modules and numbers

chapter 9|20 pages

Proportions and series

chapter 10|21 pages

Planar graphs and relations

chapter 12|18 pages

Locations and associations

chapter 13|15 pages

Spatial allocation procedures

chapter 14|18 pages

Networks, distances and routes