File:Smoothed Octagon.svg

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

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}}
 ]

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20 March 2009

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Date/TimeThumbnailDimensionsUserComment
current01:18, 20 March 2009Thumbnail for version as of 01:18, 20 March 2009600 × 400 (19 KB)Inductiveloaddeleted cluttered original octagon
00:56, 20 March 2009Thumbnail for version as of 00:56, 20 March 2009600 × 400 (20 KB)Inductiveload{{Information |Description={{en|1=The construction of a en:smoothed octagon.}} |Source=Own work by uploader |Author=Inductiveload |Date=2009/03/20 |Permission={{PD-self}} |other_versions= }} <!--{{ImageUpload|full}}--> [[Cate

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