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function main()

   line_thickness=2.5; font_size=25; ball_rad=0.035; 
   N=100; Theta=0:1/N:2*pi; X=cos(Theta); Y=sin(Theta);
   red=[1, 0, 0]; black=[0, 0, 0]; green=[0, 1, 0.2]; blue=[0, 0, 1]; white=0.99*[1, 1, 1];

   clf; hold on; axis equal; axis off

   r=1; z=0.0; p=0.24*i+0.24; q=i*p;
   L=100; T=-L:(1/N):L; T=p+q*T; Tp=1./conj(T);

   plot(X, Y, 'color', red, 'linewidth', line_thickness);
   plot(real(Tp), imag(Tp), 'color', blue, 'linewidth', line_thickness)
   plot(real(T), imag(T), 'color', green, 'linewidth', line_thickness)
   
   color_ball(real(z), imag(z), ball_rad, red);   place_text_smartly (z, font_size, 5, 'O');

   V1=3.4; plot(V1, V1, '.', 'color', white)
   V2=2.6; plot(-V2, -V2, '.', 'color', white)
   axis([-V2 V1 -V2 V1]);
   
   saveas(gcf, 'inversion_illustration2.eps', 'psc2');
   

function place_text_smartly (z, font_size, pos, tx)

   N=8;  d=0.013; shiftx=0.002; shifty=0.006;
   p=cos(2*pi/N)+sqrt(-1)*sin(2*pi/N);
   z = z + p^pos * d * font_size;
   x = real (z); y=imag(z);
   H=text(x+shiftx*font_size, y+shifty*font_size, tx); 
   set(H, 'fontsize', font_size, 'HorizontalAlignment', 'c', 'VerticalAlignment', 'c')
   
function color_ball(x, y, r, color)
   Theta=0:0.1:2*pi;
   X=r*cos(Theta)+x;
   Y=r*sin(Theta)+y;
   H=fill(X, Y, color);
   set(H, 'EdgeColor', 'none');
		

Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version.

Click on date to download the file or see the image uploaded on that date.

• (del) (cur) 02:49, 19 November 2005 . . en:User:Oleg_Alexandrov Oleg Alexandrov ( en:User_talk:Oleg_Alexandrov Talk) . . 503x503 (19102 bytes)
• (del) (rev) 02:45, 19 November 2005 . . en:User:Oleg_Alexandrov Oleg Alexandrov ( en:User_talk:Oleg_Alexandrov Talk) . . 503x503 (19065 bytes)

File:Inversion illustration2.svg is a vector version of this file. It should be used in place of this PNG file when not inferior. File:Inversion illustration2.png → File:Inversion illustration2.svg For more information, see Help:SVG. In other languages Alemannisch ∙ العربية ∙ беларуская (тарашкевіца) ∙ български ∙ বাংলা ∙ català ∙ нохчийн ∙ čeština ∙ dansk ∙ Deutsch ∙ Ελληνικά ∙ English ∙ British English ∙ Esperanto ∙ español ∙ eesti ∙ euskara ∙ فارسی ∙ suomi ∙ français ∙ Frysk ∙ galego ∙ Alemannisch ∙ עברית ∙ हिन्दी ∙ hrvatski ∙ magyar ∙ հայերեն ∙ Bahasa Indonesia ∙ Ido ∙ italiano ∙ 日本語 ∙ ქართული ∙ 한국어 ∙ lietuvių ∙ македонски ∙ മലയാളം ∙ Bahasa Melayu ∙ မြန်မာဘာသာ ∙ norsk bokmål ∙ Plattdüütsch ∙ Nederlands ∙ norsk nynorsk ∙ norsk ∙ occitan ∙ polski ∙ prūsiskan ∙ português ∙ português do Brasil ∙ română ∙ русский ∙ sicilianu ∙ Scots ∙ slovenčina ∙ slovenščina ∙ српски / srpski ∙ svenska ∙ தமிழ் ∙ ไทย ∙ Türkçe ∙ татарча / tatarça ∙ українська ∙ vèneto ∙ Tiếng Việt ∙ 中文 ∙ 中文（中国大陆） ∙ 中文（简体） ∙ 中文（繁體） ∙ 中文（马来西亚） ∙ 中文（新加坡） ∙ 中文（臺灣） ∙ +/−