The Golden Proportion, a mathematical ratio, represents beauty, harmony and balance in physical form. Over the centuries, this geometric constant has influenced architecture, biological systems, mathematics and art. This ratio is believed to hold the key to the secret of beauty and finds its representation in innumerous natural and manmade masterpieces. The paper discusses various aspects of this ratio and their relevance in human aesthetics. Introduction The Golden Proportion (Ф) has been known as mathematics of harmony since antiquity. This is believed to be a blueprint for features in nature, art, architecture and humans that conform to harmony and beauty.[1],[2],[3],[4] This proportion encompasses both organic and inorganic entities and has been found represented in numerous natural and architectural marvels ranging from Egyptian Pyramids, famous Greek temple Parthenon, classical work of Leonardo Da Vinci “Mona Lisa” and “Last Supper”, Corbusier human body sketch of proportion “Le Modulor”, musical compositions of Mozart , Beethoven to the human form itself.The Golden Proportion is defined geometrically as the ratios, where the ratio of the whole segment to the longer segment is equal to the ratio of the longer segment to the shorter segment. Mathematically, the precise value of this Ratio is expressed as 1.6180339887..., a never-ending, never-repeating number which goes to infinity. Hence this ratio cannot be expressed as a whole number or as a fraction and is considered an irrational number. Drawing algebraically this ratio, the point C divides the line AB in such a way that the ratio of AC to CB is equal to the ratio of AB to AC. The algebraic calculation shows that the ratio of AC to CB and AB to AC equals 1.618… while the ratio of CB to AC is equal to 0.618…
展开▼