This chapter is about a method I developed to draw the pictures in this book. It is, of course, an amalgam of many techniques which I learned from other illustrators. My earliest efforts at drawing surfaces were inspired by catastrophe theory. Many of the models proposed by Thom and Zeeman were purely descriptive: a figure of speech based on the geometry of a polynomial. The technical economy and operational simplicity of such models are very appealing. Accordingly, I shall present my drawing method in terms of such a geometrical metaphor. If you are familiar with the story of the calculus, as told by Carl Boyer  for example, you will also recognize my debt to the schoolmen Suiseth and Oresme. In their theory of forms, a precursor of Cartesian geometry, they graphed an inexact intensity on the latitude (=ordinate) against the longitude (=abscissa) measuring some duration or physical extension.
KeywordsLine Drawing Line Pattern Catastrophe Theory Construction Line Pinch Point
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