In order to demonstrate hyperbolic geometry, the French mathematician Jules Henri Poincare used a model in which the whole of an infinite flat plane was shown as being within a large finite circle.
From the hyperbolic point of view, no points exist on or outside the circle. All the characteristics of this type of geometry can be deduced from this model. Escher discovered it illustrated in a book by Professor H. S. M. Coxeter and he immediately recognised in it new possibilities for his approaches to infinity.
– Excerpted from The Magic Mirror of M. C. Escher
This was how the Circle Limit Series emerged and below is Circle Limit IV the last in the series.
SMART ART – ‘Circle Limit IV (Angels and Devils) ‘ by M.C. Escher – Fine Art Print 22×26 inches
unqiue post, just wanted to add escher was inspired by the work of polya to explore the limits on a plane and symmetry.
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sorry missed adding henry poincare as an inspiration.
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Even after studying his works for almost 2 years now it still fascinates me that he was so inspired by pure mathematics. Thanks for noting these names. 🙂
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