Symmetry

Defines symmetry through a discussion of its many uses in a wide variety of fields both academic and natural.

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 Concept That Symmetry Equals 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.

scientific American

dr. Weyl Presents A Masterful And Fascinating Survey Of The Applications Of The Principle Of Symmetry In Sculpture, Painting, Architecture, Ornament, And Design; Its Manifestations In Organic And Inorganic Nature; And Its Philosophical And Mathematical Significance.

Symmetry is a classic study of symmetry in mathematics, the sciences, nature, and art from one of the twentieth century's greatest mathematicians. Hermann Weyl explores the concept of symmetry beginning with the idea that it represents a harmony of proportions, and gradually departs to examine its more abstract varieties and manifestations—as bilateral, translatory, rotational, ornamental, and crystallographic. Weyl investigates the general abstract mathematical idea underlying all these special forms, using a wealth of illustrations as support. Symmetry is a work of seminal relevance that explores the great variety of applications and importance of symmetry. Dr. Weyl presents a masterful and fascinating survey of the applications of the principle of symmetry in sculpture, painting, architecture, ornament, and design; its manifestations in organic and inorganic nature; and its philosophical and mathematical significance. -- Scientific American. IF I AM NOT MISTAKEN the word symmetry is used in our everyday language in two meanings.