plot Landau cylinder and sphere

Question

Yuriy Yerin 2021-3-4

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https://ww2.mathworks.cn/matlabcentral/answers/762556-plot-landau-cylinder-and-sphere

回答： Yuriy Yerin 2021-3-4

Hello everybody.

I'd like to plot the so-called Landau cylinder in Matlab with n number of internal cylinders, something like in the figure below.

Also, is it possible to slice the sphere in the same manner to vizualize the presence of sections.

I appreciate for the help.

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Answer 1

Bjorn Gustavsson 2021-3-4

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https://ww2.mathworks.cn/matlabcentral/answers/762556-plot-landau-cylinder-and-sphere#answer_638786

Just look at the help and documentation of cylinder - that will give you a "unit-cylinder" that you then can scale (both radius and height) to your desires, and then plot each cylinder using surf. For horizontal slices you'll just get a (sub-)set of circles but for a general slice you'll have to work out what parts of which ellipses will contribute.

HTH

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Answer 2

Yuriy Yerin 2021-3-4

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/762556-plot-landau-cylinder-and-sphere#answer_638946

在 MATLAB Online 中打开

The problem was solved by means of the code

function z=cylinder_plot
r=linspace(5,0.1,7);
for i=1:7
    [x,y,z] = cylinder(r(i));
    z(2, :) = -r(1)*sin(pi/2*(i)/length(r));
    surf(x,y,z, 'FaceColor', 'interp','edgecolor','none');
    axis equal
    hold on
end
hold on
for i=1:7
    [x,y,z] = cylinder(r(i));
    z(2, :) = r(1)*sin(pi/2*(i)/length(r));
    surf(x,y,z, 'FaceColor', 'interp','edgecolor','none');
    axis equal
    hold on
end
    c = parula;
    %c =  fliplr(c);
    colormap(c)
end