Hits,Misses and Close Calls: An Image Essay on Pattern Formation in On Growth and Form

Abstract

The second edition of D'Arcy Thompson's On Growth and Form was written only shortly before the advent of computers made it possible to develop more sophisticated mathematical models of processes of growth, morphogenesis and pattern formation in nature. It also predates the blossoming of several branches of science with the conceptual tools to investigate complex phenomena such as self-organization, nonlinear dynamics and chaos, fractal geometry and self-organization. As a result, Thompson's aspirations sometimes fall short of his means — and occasionally he sets out on the wrong path. This image essay explores some of the instances in which Thompson surpassed his limitations or, alternatively, was constrained by them. In either circumstance, it illustrates how his themes remain areas of significant scientific activity today.

Keywords

pattern formation D'Arcy Thompson fractal geometry morphogenesis Alan Turing

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