Nonlinear Tessellations

Background

For decades the graphic designs of M. C. Escher have attracted the attention of people interested in mathematics.
Examples include his studies of impossible figures in Belvedere, Waterfall, and Ascending and Descending (Click each picture for an enlargement in a new window.)
BelvedereWaterfall Ascending and Descending
his distortions of perspective in Relativity, Other World, and Print Gallery
RelativityOther World Print Gallery
and his depictions of two-dimensional objects entering the third dimension in Drawing Hands, Reptiles, Encounter, and Magic Mirror.
Drawing HandsReptiles Encounter
Escher's attempts to represent the infinite began with Regular Division of the Plane and Symmetry Work,
Magic MirrorRegular Division of the Plane III Symmetry Work 72
Later attempts include Curved Beechwood Ball wiht Fish, Smaller and Smaller, and Circle Limit III
Curved Beechwood Ball wiht FishSmaller and Smaller Circle Limit III

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