Why might M.C. Escher think like a mathematician?
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From 1922 till his death in 1972 Escher astounded mathematicians and artists with his artistic ability and knowledge of space. He was able to tie the realms of mathematics and art into beautiful works of art and entertainment.
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He focused on the division of the plane and played with impossible spaces. He produced polytypes, sometimes in drawings, which cannot be constructed in the real world, but can be described using mathematics. His drawings caught the eyes and looked possible by perception, but were mathematically impossible.
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