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File:Cornu Spiral.svg

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Cornu_Spiral.svg(SVG file, nominally 480 × 460 pixels, file size: 67 KB)

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Description

A Cornu spiral, produced by a parametric plot of the Fresnel integrals: (x,y)=(C(t),S(t))\, 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

22 February 2008(2008-02-22)

Source

self-made, Mathematica and Inkscape

Author

Inductiveload

Permission
(Reusing this image)
Public domain I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide.

In case this is not legally possible:
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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[edit] Mathematica Code

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
current03:05, 23 February 2008Thumbnail for version as of 03:05, 23 February 2008480×460 (67 KB)Inductiveload ({{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)
(latest | earliest) View (newer 50) (older 50) (20 | 50 | 100 | 250 | 500)
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