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Swirl,Matlab Code

 

clc; clear all; close all;
x = -20:0.1:20;
sz = size(x);
ind = 0;
b = 6
for n = 1:15 %
for i = 1:sz(2)
    for j = 1:sz(2)
        sw(i,j) = sin(b*cos(sqrt(x(i)^2+x(j)^2))-n*atan2(x(i),x(j)));
    end
end
ind = ind +1;
fig = figure('Position',[0 0 800 800]);
hold on;
imagesc(sw);
colormap bone;
axis off;
set(fig, 'color', [0 0 0]);
set(gcf, 'InvertHardCopy', 'off');
hold off;
%print(fig,['Sw',num2str(ind)],'-djpeg  ','-r300');
close all;
end

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Henneberg surface, Matlab code

close all; clc;clear all;

[u v] = meshgrid(0:0.1:1);
%v = meshgrid(1:0.01:2);
i = 1;
for u =-pi/2: 0.1:pi/2
    j =1;
    for v = -pi/2:0.1:pi/2
        x(i,j) = 2*sinh(u)*cos(v) - 2/3*sinh(3*u)*cos(3*v);
        y(i,j) = 2*sinh(u)*sin(v) - 2/3*sinh(3*u)*sin(3*v);
        z(i,j) = 2*cosh(2*u)* cos(2*v);
        j = j+1;
    end
    i = i+1;
end
surf(y,x,z);
axis off;

Hennebergsurface

 

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