File:Syntractrix a=1.5 b=1.png

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Description Illustration of Syntractrix
Date (UTC)
Source self-made with en:Matlab
Author Oleg Alexandrov
 
This diagram was created with MATLAB.
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.

Source code (MATLAB)

 

% Syntractrix illustration

function main()

   % linewidth and font size
   lw= 6; 
   fs = 20;

% colors
   red=[0.867 0.06 0.14];
   blue = [0, 129, 205]/256;
   green = [0, 200,  70]/256;
   black = [0, 0, 0];
   white = 0.99*[1, 1, 1];


   N=5000;  % number of points (don't make it big, code will be slow)

   a = 1.5; b = 1;
   Lx1 = -0.3; Lx2 = 5; Ly1 = -b; Ly2 = b;

   bd = 0.1;
   figure(1); clf; 
   hold on; axis equal; grid on;
   set(gca, 'fontsize', fs, 'linewidth', lw/4);
   
   Y = linspace(eps, Ly2, N);  
   X =  -sqrt(b^2-Y.^2) + a*log((b+sqrt(b^2-Y.^2))./Y);
   X(1) = Lx2;
   
   figure(1); plot(X, Y, 'color', red, 'linewidth', lw/2);
          
   figure(1); axis equal; axis([Lx1-bd Lx2 -bd b+bd]);
   
   saveas(gcf, sprintf('Syntractrix_a=%0.2g_b=%0.2g.eps', a, b), 'psc2')
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14 July 2007

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Date/TimeThumbnailDimensionsUserComment
current05:58, 19 July 2007Thumbnail for version as of 05:58, 19 July 20072,025 × 554 (25 KB)wikimediacommons>Oleg Alexandrov{{Information |Description=Illustration of Syntractrix |Source=self-made with en:Matlab |Date=17:24, 14 July 2007 (UTC) |Author= Oleg Alexandrov }} {{PD-self}} ==Source code (MATLAB)== <pre> <nowiki> %

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