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From sea shells and spiral galaxies to the structure of human lungs, the patterns of chaos are all around us. Fractals are patterns formed from chaotic equations and ...

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The logarithmic spiral is a spiral whose polar equation is given by r=ae^(btheta), (1) where r is the distance from the origin, theta is the angle from the x-axis ...

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The Golden Ratio, sometimes referred to as the Golden Spiral, The Golden Mean, or the Divine Proportion, is a special number, found in mathematics, found by dividing ...

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The golden ratio is a geometric relationship between two quantities in which the ratio of the sum of the quantities to the larger quantity is equal to the ratio of ...

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In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. The figure on the ...

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Spirals by Polar Equations top. Archimedean Spiral top You can make a spiral by two motions of a point: There is a uniform motion in a fixed direction and a motion in ...

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The golden ratio, also known as the divine proportion, golden mean, or golden section, is a number often encountered when taking the ratios of distances in simple ...

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While astronomers complain that Bode's Law is "not of precise physical significance," they have still been goaded by its challenge, to question whether the ...

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In geometry, a golden spiral is a logarithmic spiral whose growth factor is φ, the golden ratio. That is, a golden spiral gets wider (or further from its origin) by ...

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The diagonal of a regular pentagon are in golden ratio to its sides and the point of intersection of two diagonals of a regular pentagon are said to divide each other ...

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While astronomers complain that Bode's Law is "not of precise physical significance," they have still been goaded by its challenge, to question whether the ...

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