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Beautiful Math--Aesthetic Patterns Based on Logarithmic Spirals

IEEE Computer Graphics and Applications, 2013
A 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
openaire   +2 more sources

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
openaire   +1 more source

Logarithmic Spirals and Computer Art

1989
Interesting 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.
openaire   +1 more source

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.
openaire   +1 more source

Approximating Logarithmic Spirals by Quarter Circles

2021
The 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
openaire   +1 more source

Logarithmic-spiral magneto-electric dipole antenna for 5G communication

AEU - International Journal of Electronics and Communications, 2023
V Dinesh Kumar
exaly  

Reflectarray with logarithmic spiral lattice of elementary antennas on its aperture

AEU - International Journal of Electronics and Communications, 2016
Zubair Ahmed
exaly  

Design of high return loss logarithmic spiral antenna

Microwave and Optical Technology Letters, 2017
Leonardo Morbidel, Pablo A Costanzo Caso
exaly  

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