Flatland, Curved Space: How M. C. Escher Illustrated the History of Geometry

Year: 2001 Authors: Steven Gimbel

Core claim

Escher’s prints illustrate how Poincaré’s attempt to defend Kantian mathematical truth was generalized by Reichenbach into a modern, relativistic view of geometry.

Topics

hyperbolic geometry, geometric conventionalism, non-Euclidean geometry, philosophy of mathematics

Domains

Euclidean geometry, hyperbolic geometry, non-Euclidean geometry, relative consistency proofs, M. C. Escher prints, visual representation, graphic illustration, mathematical art

Methods

philosophical analysis, historical argument, geometric interpretation, visual analogy

Media

Circle Limit III, Balcony, Figure 1, Escher prints

Source status

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