Results 251 to 260 of about 5,412 (286)

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), Skrodzki, M. (author), Polthier, Konrad (author)   +2 more
openaire   +2 more sources

Some of the next articles are maybe not open access.

Related searches:

Logarithmic Spiral Coastlines

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
openaire   +1 more source

On a Property of Logarithmic Spirals

Mathematics Magazine, 1968
Logarithmic spirals, analyzing curve on surface of cylinder, existence and conditions of ellipticity conditions, determining curve transformation into ellipse based on logarithmic spiral ...
N. X. Vinh, A. Zirakzadeh
openaire   +1 more source

The Logarithmic Spiral

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.
openaire   +1 more source

Logarithmic and hyperbolic spirals associated with Schrodinger's equation

Journal of Differential Equations, 2022
Geometric 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)
openaire   +1 more source

Logarithmic-spiral focusing monochromator

Review of Scientific Instruments, 1976
A 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 ...
openaire   +1 more source

Zetaform or logarithmic spiral beach

Australian Geographer, 1978
(1978). Zetaform or logarithmic spiral beach. Australian Geographer: Vol. 14, No. 1, pp. 44-45.
openaire   +1 more source

Review on logarithmic spiral bevel gear

Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2020
Logarithmic 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, Qingsheng Luo, Liting Wang, Lijun Qiao, Minghao Li   +4 more
openaire   +1 more source

A certain feature of logarithmic spirals

Journal of Mathematical Sciences, 2011
A 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).
openaire   +1 more source

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