Abstract
Claude Bragdon once observed that to some people, any juxtaposition of the idea of mathematics and the idea of art would seem far fetched. Devotees of modern non-objective painting apparently feel the same way. To he sure, artistic creations do not invariably stem from mathematical concepts, nor does the execution of works of art depend solely upon mathematical considerations. But basically, pure mathematics and creative art share certain common characteristics: both admit of unlimited use of the imagination; both are creations for the sake of creation; both are pure invention; both reveal abstract orderliness imposed by the human mind. And when the artist portrays reality, he takes into account the mathematical aspects of real objects, be they the works of man, or found in Nature.
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