— Henri Poincaré.
in short, we are all part of the golden mean. nerds, read on.
in mathematics and in the ARTS, two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger one equals the ratio of the larger one to the smaller. the golden ratio is an irrational mathematical constant, approximately 1.6180339887. other names frequently used for the golden ratio are the golden section and golden mean. other terms encountered include extreme and mean ratio, medial section, divine proportion, divine section), golden proportion, golden cut, golden number, and mean of phidias. The golden ratio is often denoted by the greek letter phi, usually lower case (φ).
the golden mean, not only applies to mathematics, art and beauty but philosophy, education and politics, among others.a favorite of mine is in relation to aristotle's psychology of the soul and its virtues based on the golden mean between the extremes. in politics, aristotle criticizes the spartan polity by critiquing the disproportionate elements of the constitution; e.g., they trained the men and not the women, and they trained for war but not peace. this disharmony produced difficulties which he elaborates on in his work.
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