Central to the pattern of Arcadia’s story is the idea of the classical understanding and style giving way to newer, more complicated approaches and concepts. The new ideas seem to the characters—and often to us as well—less structured or even totally without rhyme or reason. As Valentine explains, however, there is structure even in chaos.

Classical Idea: A standard, parabolic
curve from Euclidian geometry.

Contemporary Idea: Bransley’s Fern, a
famous example of iterative fractal geometry.

Classical Idea: An English garden, how the Croom estate might have appeared before Noakes re-landscaped it—“perfected nature”—natural elements arranged to form a picture.

Gothic Idea: A Gothic garden painted by Salvator Rosa, an inspiration for the picturesque style of landscape gardening.

Classical Idea: Gallilean physics demonstrating predictable, elliptical orbits and the associated forces.

Modern Idea: Satellite image of naturally occurring cloud turbulence, a complex pattern that is explained by chaos theory and modeled by fractal geometry.


 

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