Geometries of Curvature and their Aesthetics
Brent Collins

Bridges: Mathematical Connections in Art, Music, and Science
Pages 81–88

Abstract

This paper discusses my sculptures in relation to their two most basic geometric classes and the distinctly contrasting aesthetics of each. Viewers have sometimes remarked on these aesthetic contrasts, which stem entirely from differing three-dimensional geometries, and my assumption is that they will always to some degree be felt, if not necessarily in an immediately articulate sense.

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