File:Smoothed Octagon.svg

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Original file (SVG file, nominally 600 × 400 pixels, file size: 19 KB)

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Description
English: The construction of a smoothed octagon.
Date
Source Own work by uploader, made in Mathematica, and heavy processing in Inkscape.
Author Inductiveload
Permission
(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.

Mathematica Code

l = Sqrt[2] - 1;
m = Sqrt[6*Sqrt[2] - 8]*(Sqrt[2] + 1)/2;

hyper = ParametricPlot[
   {m/l * Cosh[t], 
    m * Sinh[t]},
   {t, -Pi, Pi}];

adj = Plot[
   {(Sqrt[2] + 1)*(x - 2),
    -(Sqrt[2] + 1)*(x - 2)},
   {x, 2, 10}];

asymp = Plot[
   {l*x, -l*x},
   {x, 0, 10}];

Show[
 {hyper,
  adj,
  asymp},
 AspectRatio -> Automatic,
 PlotRange -> {{0, 4}, {-2, 2}}
 ]

Captions

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Items portrayed in this file

depicts

inception

20 March 2009

File history

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Date/TimeThumbnailDimensionsUserComment
current03:18, 20 March 2009Thumbnail for version as of 03:18, 20 March 2009600 × 400 (19 KB)wikimediacommons>Inductiveloaddeleted cluttered original octagon

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