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Beautiful Math--Aesthetic Patterns Based on Logarithmic Spirals
IEEE Computer Graphics and Applications, 2013A simple, fast method generates various visually appealing spiral patterns. The method is based on the concept that spiral patterns comprise a symmetry group of tilings. It employs invariant mappings and a dynamical system to create seamless colored patterns.
Xinchang Wang, Peichang Ouyang
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Stability of Slopes by Logarithmic-Spiral Method
Journal of the Geotechnical Engineering Division, 1976A 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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Logarithmic Spirals and Computer Art
1989Interesting geometric patterns are obtained by mapping a rectangular region in one coordinate system onto an annular region in another coordinate system. The mapping involves logarithmic spirals and several examples are presented which involve interlocking spirals, cubes and dragon patterns.
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Brachiopod outline and the importance of the logarithmic spiral
Paleobiology, 1998Abstract 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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Approximating Logarithmic Spirals by Quarter Circles
2021The approximation of a golden logarithmic spiral by quarter circles is well known. Starting from this, we show that any logarithmic spiral can be approximated by quarter circles in a similar way. Using our construction on a rectangle with aspect ratio √휙 and performing a coordinate reparametrization, we obtain an aesthetic partition of the plane as our
Reitebuch, Ulrich (author) +2 more
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Logarithmic-spiral magneto-electric dipole antenna for 5G communication
AEU - International Journal of Electronics and Communications, 2023V Dinesh Kumar
exaly
Reflectarray with logarithmic spiral lattice of elementary antennas on its aperture
AEU - International Journal of Electronics and Communications, 2016Zubair Ahmed
exaly
Design of high return loss logarithmic spiral antenna
Microwave and Optical Technology Letters, 2017Leonardo Morbidel, Pablo A Costanzo Caso
exaly
A STUDY OF LOGARITHMIC COVARIATION IN POLAR COORDINATES: THE CASE OF LOGARITHMIC SPIRAL
2021Solano, Jose Antonio Bonilla +1 more
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