[bs] Julia 1

Referensi : wikipedia


----------------------------------------- Polinomial kuadratik ----------------------------------
golden_ratio = (1+sqrt(5))/2
z = z^2+c
i = sqrt(-1)
-----------------------------------------------------------------------------------------------------

c = 1-golden_ratio

c = (golden_ratio-2)+(golden_ratio-1)*i

c = 0.285+0*i;

c = 0.285+0.01*i

c = 0.45+0.1428*i;

c = -0.70176-0.3843*i

                 

c = -0.835-0.2321*i

                        

c = -0.8+0.156*i

Matlab code

File 1: Main programe

%-------------------------------------------- copy mulai dari sini ----------------------------------

% Julia Set_1

% Edited by Andri Husein

clc

clear all

i= sqrt(-1);

k = 100;      % Number of iterations 100

Xr = [-2 2];  % x-axis range value 

Yr = [-2 2];  % y-axis range value

% Reff : http://en.wikipedia.org/wiki/Julia_set

golden_ratio = (1+sqrt(5))/2;

c = 1-golden_ratio;                          % figure 1

%c = (golden_ratio-2)+(golden_ratio-1)*i;    % figure 2

%c = 0.285+0*i;                              % figure 3

%c = 0.285+0.01*i;                           % figure 4

%c = 0.45+0.1428*i;                          % figure 5

%c = -0.70176-0.3843*i;                      % figure 6

%c = -0.835-0.2321*i;                        % figure 7

%c = -0.8+0.156*i;                           % figure 8

Julia_plot(c,k,Xr,Yr)

xlabel('x-axis','FontSize',12)

ylabel('y-axis','FontSize',12)

title('Julia Set','FontSize',12)

%-------------------------------------------- copy sampai sini ------------------------------------

File 2: Function, save dengan nama Julia_plot

%-------------------------------------------- copy mulai dari sini ----------------------------------

function Julia_plot(c,k,Xr,Yr)

n = 400;

i = sqrt(-1);

x = linspace(Xr(1,1),Xr(1,2),n);

y = linspace(Yr(1,1),Yr(1,2),n);

[X,Y] = meshgrid(x,y);

W = zeros(length(X),length(Y));

for m = 1:size(X,2)

    for j = 1:size(Y,2)

        [w,iter] = Julia(X(m,j)+Y(m,j)*i,c,k);

        W(m,j) = W(m,j) + iter;

    end

end

hold on;

%axis off;

colormap(jet);       %pilihan warna 1

%colormap(summer);   %pilihan warna 2

%colormap(cool);     %pilihan warna 3

pcolor(W);

caxis([-20 180]);   % default [-20 180]

shading interp;

hold off;

%----------------------------------

function [pri,it] = Julia(z,c,k)

R = max(abs(c),2);

d = 0;

while d < k

    if abs(z) > R

        pri = 1;

        it = d;

        return;

    end

    

    %-------------------------------------

    z = z^2 + c; % Quadratic polynomials

    %------------------------------------

    

    d = d + 1;

end

pri = 0;

it = d;

%-------------------------------------------- copy sampai sini ------------------------------------

Copyright (c) 2006, Krzysztof Gdawiec

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