The warped space of M C Escher
The article explores how M.C. Escher's artwork distorts perspective and space, using impossible constructions and mathematical concepts like hyperbolic geometry and the Poincaré disk model to challenge viewers' perception of reality.
Background
M.C. Escher (1898–1972) was a Dutch graphic artist known for mathematically inspired woodcuts and lithographs featuring impossible objects, tessellations, and distorted perspectives. This blog post analyzes how Escher warps visual space to create his iconic illusions — staircases that loop, hands that draw themselves, and interlocking patterns that morph from one shape to another. The author, Michael Hogg, connects Escher's techniques to concepts in geometry and perception, particularly non-Euclidean space. Understanding Escher's work is a touchstone for anyone interested in the intersection of art, mathematics, and cognitive science, and his images have heavily influenced popular culture, puzzle design, and even computer graphics (e.g., the video game *Monument Valley*).