File:Amoeba2.svg
Summary
| Description |
English: The amoeba of |
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| Date | |||
| Source |
Own work based on: Amoeba2.png: |
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| Author |
Original: Vector: |
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| SVG development |
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Licensing
Zerodamage, the copyright holder of this work, hereby publishes it under the following license:
This file is licensed under the Creative Commons Attribution 3.0 Unported license.
Attribution:
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
Source code

This media was created with C++ (general-purpose programming language)Category:Images with C++ source code and MATLAB (numerical computing environment)Category:Images with MATLAB source code
Here is a listing of the source used to create this file.
Here is a listing of the source used to create this file.
#include <iostream>
#include <fstream>
#include <cmath>
#include <complex>
using namespace std;
double small = 1e-14;
double mylog (double);
int main(){
double A=-5, B=5;
int N=1000;
double h= (B-A)/(N-1);
double theta0 = 2*M_PI/(N-1.0);
ofstream mfile ("data.txt");
for (int i=0 ; i < N ; i++){
double r = exp(A+i*h);
for (int j=0 ; j < N ; j++){
double theta = j*theta0;
complex<double> z2 = polar(r, theta);
complex<double> root = sqrt(25.0*z2*z2-12.0*(z2*z2*z2+1.0));
complex<double> z11 = (-5.0*z2+root)/6.0;
complex<double> z12 = (-5.0*z2-root)/6.0;
double a1 = mylog(abs(z11));
double a2 = mylog(abs(z12));
double b = mylog(abs(z2));
mfile << a1 << ' ' << b << endl;
mfile << a2 << ' ' << b << endl;
}
}
mfile.close();
return 0;
}
double mylog (double x){
if (x< 0){
cerr << "Error in log, negative x!" << endl;
exit(0);
}
if (x < small){
return log (small);
}
return log (x);
}
Matlab code which reads the data output by the C++ code and graphs it
A=load('data.txt');
plot(A(:, 1), A(:, 2), '.');
axis equal; axis off;
axis([-4 6 -5 5])
saveas(gcf, 'amoeba2.eps', 'psc2');Original upload log
This image is a derivative work of the following images:
- Amoeba2.png licensed with PD-self
- 2007-03-09T04:22:13Z Oleg Alexandrov 1504x1446 (13103 Bytes)
- 2007-02-28T04:42:54Z Oleg Alexandrov 1078x1092 (28225 Bytes)
- 2007-02-28T04:17:26Z Oleg Alexandrov 1078x1081 (40520 Bytes) Made by myself with matlab.
Uploaded with derivativeFX Category:Uploaded with derivativeFX
Category:Amoeba (mathematics) Category:Images with C++ source code Category:Images with MATLAB source code
Category:Amoeba (mathematics)
Category:CC-BY-3.0
Category:Images with C++ source code
Category:Images with MATLAB source code
Category:Invalid SVG created with C++:Trigonometry
Category:Pages with syntax highlighting errors
Category:SVG retouched pictures from raster
Category:Self-published work
Category:Uploaded with derivativeFX
Category:Vectorizations