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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
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South African Geographical Journal, 1986
Abstract The 45 km stretch of coastline between Mapelane and Cape Vidal is an offset coastline which is subject to a dominant wave attack from the south-east. This section of coastline is characterized by long stretches of sandy beach alternating with rocky headlands.
June Meeuwis, P.A.J. Van Rensburg
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Abstract The 45 km stretch of coastline between Mapelane and Cape Vidal is an offset coastline which is subject to a dominant wave attack from the south-east. This section of coastline is characterized by long stretches of sandy beach alternating with rocky headlands.
June Meeuwis, P.A.J. Van Rensburg
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The Mathematics Teacher, 1974
This article will be of interest to teachers of analytic geometry. It points out some interesting properties of the logarithmic spiral and cites two examples from physics where this spiral finds applications.
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This article will be of interest to teachers of analytic geometry. It points out some interesting properties of the logarithmic spiral and cites two examples from physics where this spiral finds applications.
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Logarithmic and hyperbolic spirals associated with Schrodinger's equation
Journal of Differential Equations, 2022Geometric properties of the solutions of the equation \[ Q''+\frac{2}{\zeta}Q'-Q+ia(\zeta Q)'=0, \quad 00\), and become singular as \(\zeta \to 0^+\) They rotate around \((0, 0)\) with \({\theta}'_j(\zeta)
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Logarithmic-spiral focusing monochromator
Review of Scientific Instruments, 1976A crystal monochromator with a logarithmic-spiral curvature has been designed as part of a low-angle x-ray diffraction camera that uses synchrotron radiation emanating from the storage ring SPEAR at Stanford Linear Accelerator Center. The logarithmic-spiral curvature allows a greater demagnification of the source than is permitted by a cylindrical ...
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Zetaform or logarithmic spiral beach
Australian Geographer, 1978(1978). Zetaform or logarithmic spiral beach. Australian Geographer: Vol. 14, No. 1, pp. 44-45.
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Review on logarithmic spiral bevel gear
Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2020Logarithmic spiral bevel gear (LSBG) has received increasing attention among industry and academy in the past four decades. This paper attempts to survey and summarize the recent research and development of LSBG, provides comprehensive references for researchers concerning with this topic and helps them identify further research topics.
Jianfeng Jiang +4 more
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A certain feature of logarithmic spirals
Journal of Mathematical Sciences, 2011A curve formed by inversion of a logarithmic spiral is called a double logarithmic spiral. The curves in this family possess the following property: there always exists such a spiral with continuous and monotone curvature satisfying any possible boundary conditions (endpoints, tangents, and curvatures).
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Flying Along a Logarithmic Spiral
Science, 2000ORGANISMAL BIOLOGY Peregrine falcons use two high performance skills—flight speed and visual acuity—to attack their prey. In a trio of papers, Tucker and his colleagues model the quantitative aspects of aerodynamic drag, assess the optimal integration of speed and sight, and present field observations of falcon flight.
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