How to plot and combine in one graph?

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Ke Le
Ke Le 2020-6-7
评论： Ke Le 2020-6-8
Hello everyone;
Need help in plotting all these three functions on a single graph.
U=nthroot(1-x^3-y^3-z^3,3)
V=nthroot(1-x^2-y^2-z^2, 2)
W=(1-x-y-z)
Thanks
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Ke Le
Ke Le 2020-6-7
nthroot(p, 2)----> squared root
nthroot(p, 3)---->cube root.
Or if not a problem one may write it as (p).^(1/3), right?

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采纳的回答

Ameer Hamza
Ameer Hamza 2020-6-7
Since you have 3 independent variables, you will need to use slice() and create 3 figures.
[X, Y, Z] = meshgrid(-0.5:0.02:0.5);
U = nthroot(1-X.^3-Y.^3-Z.^3, 3);
V = nthroot(1-X.^2-Y.^2-Z.^2, 2);
W = (1-X-Y-Z);
figure
slice(X, Y, Z, U, [-0.4 0 0.3], 0, 0.3)
title('U')
colorbar
shading interp
figure
slice(X, Y, Z, V, [-0.4 0 0.3], 0, 0.3)
title('V')
colorbar
shading interp
figure
slice(X, Y, Z, W, [-0.4 0 0.3], 0, 0.3)
title('W')
colorbar
shading interp
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Ameer Hamza
Ameer Hamza 2020-6-8
I don't think there is any other useful way to visualize 4D data. If you have some other example, then you can show an image.
Ke Le
Ke Le 2020-6-8
[X,Y,Z] = meshgrid(0:1:1);
V = nthroot(1-X.^3-Y.^3-Z.^3,3);
[xsurf,ysurf] = meshgrid(0:.01:1);
zsurf = 1-xsurf.^3-ysurf.^3;
contourslice(X,Y,Z,V,xsurf,ysurf,zsurf,200, 'nearest')
view(3)
grid on

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