ABSTRACT
Prior to embarking on our odyssey to comprehend the abstract expressions and finer intricacies of group theory, this chapter analyzes the simpler concepts of symmetry. Humans are endowed with an intuitive understanding of what “symmetry”denotes. All around we are literally surrounded by objects—some display no features of symmetry whatsoever, while others exhibit clear evidence of symmetry that is intrinsically recognized by humans. The performing arts also exhibit a marked fondness for symmetry. For example, poets have always waxed eloquent about the beauty of symmetry and have always turned lyrical regarding the rhythm of rhyme. In fact, the search for symmetry in nature—with symmetry being sought for its own sake—has been found to be an extremely fruitful enterprise by scientists. The reader, having gained an appreciation of symmetry, should note that the concept of symmetry has been a motivating factor for the construction of theories in physical science since time immemorial.
