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

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Description The amoeba of P(z,w)=w-2z-1
Date 11 January 2007 (original upload date)
Source Own work
Author Oleg Alexandrov
File:Amoeba of p=w-2z-1.svg is a vector version of this file. It should be used in place of this PNG file when not inferior.
File:Amoeba of p=w-2z-1.png → File:Amoeba of p=w-2z-1.svg
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Licensing[edit]

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)[edit]

% 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')

File history

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Date/TimeThumbnailDimensionsUserComment
current04:15, 9 March 2007Thumbnail for version as of 04:15, 9 March 20071,479 × 1,483 (24 KB)Oleg Alexandrov (talk | contribs)
01:58, 11 January 2007Thumbnail for version as of 01:58, 11 January 2007514 × 531 (23 KB)Oleg Alexandrov (talk | contribs)

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