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Logarithmic spiral — A splendid curve

Resonance, 2004
Due to its various peculiarities, logarithmic spiral drew the attention of mathematicians and was called ‘spiral mirabilis’ by Jacob Bernoulli I. In this article some properties of logarithmic spiral have been described along with the appearance as well as applications of the curve in art and nature.
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Stability of Slopes by Logarithmic-Spiral Method

Journal of the Geotechnical Engineering Division, 1976
A logarithmic-spiral method programmed for a computer is presented for determining the factor of safety of a simple slope. The method differs from Taylor's in that the friction angle of the logarithmic spiral is not a constant but varies with the factor of safety.
Yang H. Huang, Craig M. Avery
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Brachiopod outline and the importance of the logarithmic spiral

Paleobiology, 1998
Abstract To a first approximation, the logarithmic spiral is a close fit to the biconvex lateral outline of three terebratellid genera from Australasia. Investigation of spiral parameters confirms the value of the biconvex morphospace of McGhee (1980), but not the method for estimating the spiral itself.
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Infinity as a Fractal Logarithmic Spiral

Classical mathematics treats innity as a direction: the number line extends without end. Cantor's cardinal arithmetic reveals that some innities are larger than others but preserves the linear structure. Fractal Uncertainty Theory (FUT) and Coherent Mathematics (CoMath) propose a fundamentally dierent geometry: innity is a fractal logarith-mic spiral ...
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New Analytic Solution with Continuous Thrust: Generalized Logarithmic Spirals

Journal of Guidance, Control, and Dynamics, 2016
Javier Roa, J Peláez
exaly  

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