09 December 2017

On Symmetry VI (Symmetry and Perception)

“Symmetry is a characteristic of the human mind.” (Alexander Pushkin, 1825)

“Symmetry is what we see at a glance; based on the fact that there is no reason for any difference, and based also on the face of man; whence it happens that symmetry is only wanted in breadth, not in height or depth.” (Blaise Pascal, “Pensées”, 1670)

"It is the harmony of the diverse parts, their symmetry, their happy balance; in a word it is all that introduces order, all that gives unity, that permits us to see clearly and to comprehend at once both the ensemble and the details." (Henri Poincaré, “The Future of Mathematics”, Monist, Vol. 20)

“[…] admiration for elegant symmetry never dies […]” (Robert Kaplan & Ellen Kaplan, „The Art of the Infinite: The Pleasures of Mathematics”, 2003)

“The word ‘symmetry’ conjures to mind objects which are well balanced, with perfect proportions. Such objects capture a sense of beauty and form. The human mind is constantly drawn to anything that embodies some aspect of symmetry. Our brain seems programmed to notice and search for order and structure. Artwork, architecture and music from ancient times to the present day play on the idea of things which mirror each other in interesting ways. Symmetry is about connections between different parts of the same object. It sets up a natural internal dialogue in the shape.” (Marcus du Sautoy, “Symmetry: A Journey into the Patterns of Nature”, 2008)

“Symmetry is the means by which shape is converted into memory.” (Michael Leyton, “Symmetry, Causality, Mind”, 1992)

“The desire for symmetry, for balance, for rhythm in form as well as in sound, is one of the most inveterate of human instincts.” (Edith Wharton)

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