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Dimensional / Sacred Geometry
Line segments in the golden ratio A golden rectangle with longer side a and shorter side b , when placed adjacent to a square with sides of length a , will produce a similar golden rectangle with longer side a + b and shorter side a . This illustrates the relationship
In philosophy , especially that of Aristotle , the golden mean is the desirable middle between two extremes, one of excess and the other of deficiency. For example courage , a virtue, if taken to excess would manifest as recklessness and if deficient as cowardice . To the Greek mentality, it was an attribute of beauty. Both ancients and moderns realized that there is a close association in mathematics between beauty and truth . The poet John Keats , in his Ode on a Grecian Urn , put it this way:
Graphics plus Fractals and Animations
Book Review : The Fractal Geometry of Nature by Benoit B. Mandelbrot, a ground breaking look into the world of Fractal Geometry; which in-turn hugely influenced mainstream popular culture after its publication in 1982. Mandelbrot looks at the underlying mathematical formulas which shape natural systems, nonlinear systems, Chaos theory etc...
fibonacci sacred geometry