## Fibonacci Fun

Here are some illustrations by myself and others, dealing with the Fibonacci sequence and the Golden Number, Phi. A few months ago, I noticed the exponents of Phi encode the Fibonacci sequence.

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## The Divine Proportion: Golden (Phi)nomena of Nature

There is one proportion that is divine.  A ratio of two numbers, the simplest of which being one.  Paired with unity, there is only one number that is capable of fractal expansion and contraction.  By using the four operations of mathematics: addition, subtraction, multiplication, and division, this golden number (1.6180339..) is the key to understanding fractality, holograms, life, and the nature of reality.  This is the number (or ratio) the universe uses to become more aware of itself. The divine proportion is the only mathematical ratio that the Universe needs to intelligently design all life.  Phi, aka the Golden Ratio,  is a truly divine number.  It’s quite a phinomenon.  Along with unity this number creates the perfect proportion.  Let’s demystiphi some of the more esoteric geometric concepts attributed to this golden proportion.   Phi is found everywhere and yet nobody talks about it.  It’s missing from the calculator.  Its…

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## The Golden Geometry of Phi

It’s important to understand where the most ubiquitous ratio in nature is found by using simple geometry.  The golden geometry of phi.  The divine proportion (the golden mean, Phi, the golden number, Fibonacci’s number) creates fractal expansion and contraction which creates life as we know it. The square root of five can sound scary, but when it is visually represented it’s not as frightening.  The square root of 5 (the cross section of a double square) is essential in the formula for Phi. It’s encoded everywhere from our dna to the geometry of a nautilus shell to the milky way.  Phi is found in plants though phyllotaxis,  or the way the leaves arrange themselves around the stem.  They rotate in golden angles. 222.5 degrees is golden among the 360. “The harmony of the world is made manifest in Form and Number, and the heart and soul…

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