- published: 27 Mar 2015
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Symmetry (from Greek συμμετρεῖν symmetría "measure together") generally conveys two primary meanings. The first is an imprecise sense of harmonious or aesthetically pleasing proportionality and balance; such that it reflects beauty or perfection. The second meaning is a precise and well-defined concept of balance or "patterned self-similarity" that can be demonstrated or proved according to the rules of a formal system: by geometry, through physics or otherwise.
Although the meanings are distinguishable in some contexts, both meanings of "symmetry" are related and discussed in parallel.
The precise notions of symmetry have various measures and operational definitions. For example, symmetry may be observed
This article describes these notions of symmetry from four perspectives. The first is that of symmetry in geometry, which is the most familiar type of symmetry for many people. The second perspective is the more general meaning of symmetry in mathematics as a whole. The third perspective describes symmetry as it relates to science and technology. In this context, symmetries underlie some of the most profound results found in modern physics, including aspects of space and time. Finally, a fourth perspective discusses symmetry in the humanities, covering its rich and varied use in history, architecture, art, and religion.
I'm caught in the symmetry of your mind
But I'm not happier than you
Did I really see you or was it a dream
Dreaming that it was seamless
Not a trace of wrong words
That we have spoken
Little did we know
No bigotry no tears shed
Oh if only you'd try to be polite
Thinking you were right
Only to find that you're unkind
But ironically you will always be
Belle of the ball at least to me
I'm caught in the symmetry of your mind
But I'm not happier than you
But my words are frail not audible
They do not even convince me
Perhaps they are untrue
Truly with you the worst is always true
I gave you all the benefits of all the doubts I had
Never hoped to be as benign as me
Funny how you always get through
But ironically you will always be