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This book offers an examination of the symmetry present in mathematics, nature, art forms and the sciences. One of the last century's greatest mathematicians, Hermann Weyl, introduces the idea of symmetry as something that represents a harmony of proportions, and gradually departs to examine its more abstract varieties and manifestations—as bilateral, translatory, rotational, ornamental, and crystallographic. Weyl looks into the general abstract mathematical idea underlying these various forms, using brilliant illustrations to support his work.