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About the Golden Ratio: The Golden Ratio can be illustrated within special dimensions of Sprials, Triangles and Rectangles where the ratio of the length of the short side to the long side is .618, was noted by ancient Greek architects as the most visually pleasing rectangle and its dimensions were used to construct buildings such as the Parthenon.

Fractal— noun Mathematics, Physics. a geometrical or physical structure having an irregular or fragmented shape at all scales of measurement between a greatest and smallest scale such that certain mathematical or physical properties of the structure, as the perimeter of a curve or the flow rate in a porous medium, behave as if the dimensions of the structure (fractal dimensions) are greater than the spatial dimensions.

Prime Number Patterns by Jason Davies (via infosthetics