Symmetry is one of the ideas by which man through the ages has tried to comprehend and create order, beauty, and perfection. Starting from the view that symmetry = harmony of proportions, this book gradually develops first the geometric concept of symmetry in its several forms as bilateral, translatory, rotational, ornamental, and crystallographic symmetry, and finally rises to the general abstract mathematical idea underlying all these special forms. This first paperback version of Hermann Weyl's widely-read essay includes the beautiful illustrations of the cloth cover edition.