For some of us, beauty lies in those aspens glittering in the afternoon sun from the bank of an autumn mountain stream, for others, beauty is a warm field of daises decorated with a flock of large colorful butterflies.
Nature contains a vast amount of beauty.
Yet not in nature alone do we search for beauty, for many of us sense our personal concept of ideal beauty reflected in architecture, music, the fragrance of perfume, the taste of delicious food, or the touch of fine silk, and the many combinations which our five senses can produce. For the mathematician, beauty may be highlighted in a geometric theorem such as the famous Pythagorean Theorem which came out of Pythagorus' ancient school in Crotona, Italy. As we can easily see, each of us may hold a slightly different concept of what is beautiful. Our various concepts of beauty range from rubies and diamonds in the mineral world, a fragrant flower in the plant world, a colorful song bird in the animal world, to feelings of love, joy, and enthusiasm in the emotional world, and on to our mental concepts which include poetry, art, music, and philosophy. From the point of view of the individual, each person's concept of beauty is very special and valid.