philosophy of symmetry

Wabi refers to a philosophical construct, a sense of space, direction, or path, while sabi is an aesthetic construct rooted in a given object and its features, plus the occupation of time, chronology, and objectivity.  

Wabi-sabi is an intuitive appreciation of a transient beauty in the physical world that reflects the irreversible flow of life in the spiritual world. It is an understated beauty that exists in the modest, rustic, imperfect, or even decayed, an aesthetic sensibility that finds a melancholic beauty in the impermanence of all things. Symmetry reflects a Hellenistic heritage - as opposed to one connected to nature, yet the body is evoked the moment symmetry is imposed on an object.

Greek philosophers initially felt that aesthetically appealing objects were beautiful in and of themselves. Plato felt that beautiful objects incorporated proportion, harmony, and unity among their parts. Similarly, in the Metaphysics, Aristotle found that the universal elements of beauty were order, symmetry, and definiteness. Aesthetic considerations such as symmetry and simplicity are used in areas of philosophy, such as ethics and theoretical physics and cosmology to define truth, outside of empirical considerations. Beauty and Truth have been argued to be nearly synonymous

http://www.hermitary.com/solitude/aesthetics.html