The NeverEnding Spiral Logo

on 24 Oct 2021

% Based on Mandelbrot Chapter of Cleve Moler "Experiments in MATLAB"

% The Mandelbrot set fractal on the MATLAB logo

% By Victoria A. Sablina

a=-1.74975914513036646;

b=-3.68513796e-9;

w=3.2e-12;

s=5.0e-15;

x=a-w:s:a+w;

y=x'-a+b;

n=numel(x);

e=ones(n,1);

z0=x(e,:)+i*y(:,e);

z=zeros(n);

c=z;

d=2048;

for k=1:d

z=z.^2+z0;

c(abs(z)<2)=k;

end

L=membrane(1,640);

surf(L,c,'EdgeColor','none','CDataMapping','direct');

colormap(flipud(jet(d)));

view(-90,10);

axis off;