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Summary
Made by myself with matlab.

File:Complex numbers conjugation.svg is a vector version of this file. It should be used in place of this raster image when superior.
File:Complex numbers conjugation.png File:Complex numbers conjugation.svg
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Licensing
Public domainPublic domainfalsefalse 

This work has been released into the public domain by its author, Oleg Alexandrov at the English Wikipedia project. This applies worldwide.
In case this is not legally possible: Oleg Alexandrov grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Source code
function main ()
% set up the plotting window
thickness=2.8; fs=30; d=0.005;
red=[1, 0, 0]; green=[0, 1, 0]; blue=[0, 0, 1];
figure(1); clf; hold on; axis equal; axis off;
i=sqrt(1);
z1=0; z2=1; z3=2+i;
plot_seg(z1, z2, red, thickness);
plot_seg(z2, z3, green, thickness);
plot_seg(z3, z1, blue, thickness);
pt (z1, fs, 4, d, '0');
pt (z2, fs, 0, d, '1');
pt (z3, fs, 1, d, 'A');
z1=0; z2=1; z3=2i;
plot_seg(z1, z2, red, thickness);
plot_seg(z2, z3, green, thickness);
plot_seg(z3, z1, blue, thickness);
pt (z3, fs, 7, d, 'X');
saveas(gcf, 'Complex_numbers_conjugation.eps', 'psc2')
% convert from eps to png with the shell command
% convert antialias density 400 scale 20% Complex_numbers_conjugation.eps Complex_numbers_conjugation.png
function plot_seg(z1, z2, color, thickness);
plot( [real(z1), real(z2)], [imag(z1), imag(z2)], 'color', colour, 'linewidth', thickness );
function pt (z, fs, pos, d, tx)
p=cos(pi/4)+sqrt(1)*sin(pi/4);
z = z + p^pos * d * fs;
shiftx=0.0003;
shifty=0.002;
x = real (z); y=imag(z);
H=text(x+shiftx*fs, y+shifty*fs, tx); set(H, 'fontsize', fs, 'HorizontalAlignment', 'c', 'VerticalAlignment', 'c')
date/time 
username 
edit summary 
04:59, 24 October 2005 
en:User:Oleg Alexandrov 
(fix bug) 
04:58, 24 October 2005 
en:User:Oleg Alexandrov 
(source code) 
03:45, 24 October 2005 
en:User:Oleg Alexandrov 
(Made by myself with matlab.) 
Historio de la dosiero
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 (del) (cur) 03:45, 24 October 2005 . . en:User:Oleg_Alexandrov Oleg Alexandrov ( en:User_talk:Oleg_Alexandrov Talk) . . 236x238 (4756 bytes) (Made by myself with matlab. )