Image:Amoeba of p=w-2z-1.png

[edit] Licensing

I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide. In case this is not legally possible: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. Afrikaans | Alemannisch | Aragonés | العربية | Asturianu | Български | Català | Česky | Cymraeg | Dansk | Deutsch | Eʋegbe | Ελληνικά | English | Español | Esperanto | Euskara | Estremeñu | فارسی | Français | Galego | 한국어 | हिन्दी | Hrvatski | Ido | Bahasa Indonesia | Íslenska | Italiano | עברית | Kurdî / كوردی | Latina | Lietuvių | Latviešu | Magyar | Македонски | Bahasa Melayu | Nederlands | ‪Norsk (bokmål)‬ | ‪Norsk (nynorsk)‬ | 日本語 | Polski | Português | Ripoarisch | Română | Русский | Shqip | Slovenčina | Slovenščina | Српски / Srpski | Svenska | ไทย | Tagalog | Türkçe | Українська | Tiếng Việt | Walon | ‪中文(简体)‬ | ‪中文(繁體)‬ | zh-yue-hant | +/-

[edit] Source code

% a simple code to draw the amoeba of p(z, w) = w-2z-1.

a=0; b=50; h=0.01;

R=h/2:h:b;
X=log(R);
Y=log(abs(2*R-1));
Z=log(abs(2*R+1));

figure(1); clf; hold on; axis equal; axis off;

XX=X;
YY=Y;

% append to (X, Y) the pair (X, Z), traveled in reverse (so that we can use fill)
n=length(Z)
for i=1:n
   XX=[XX X(n-i+1)];
   YY=[YY Z(n-i+1)];
end

blue = [0, 0, 1];
H=fill (XX, YY, blue); set(H, 'EdgeColor', blue);


saveas(gcf, 'amoeba of p=w-2z-1.eps', 'psc2')

• User:Oleg Alexandrov/Pictures
• Amoeba (mathematics)