File:Cornu Spiral.svg

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Original file (SVG file, nominally 480 × 460 pixels, file size: 63 KB)

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Description

A Cornu spiral, produced by a parametric plot of the Fresnel integrals:

where t runs from -7 (bottom left) to 7 (top right). The function converges to the points shown as t tends to positive or negative infinity.
Date
Source Own work (Original text: self-made, Mathematica and Inkscape)
Author Inductiveload
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(Reusing this file)
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
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Mathematica Code

[edit]
 ParametricPlot[ {FresnelC[Sqrt[2/\[Pi]] t]/Sqrt[2/\[Pi]], FresnelS[Sqrt[2/\[Pi]] t]/Sqrt[2/\[Pi]]}, {t, -7, 7}] 

File history

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Date/TimeThumbnailDimensionsUserComment
current07:00, 8 April 2014Thumbnail for version as of 07:00, 8 April 2014480 × 460 (63 KB)Wereldburger758 (talk | contribs)Removal hidden element and cleanup of code. Valid SVG now.
03:05, 23 February 2008Thumbnail for version as of 03:05, 23 February 2008480 × 460 (67 KB)Inductiveload (talk | contribs){{Information |Description=A Cornu spiral, produced by a parametric plot of the w:Fresnel integrals: <math>(x,y)=(C(t),S(t))\,</math> where ''t'' runs from -7 (bottom left) to 7 (top right). The function converges to the points shown as ''t'' tends t

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