How to plot and combine in one graph?

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

[Ameer Hamza]

What do you expect the output of these equations to look like? What does the following equation mean

U=nthroot(1-x^3-y^3-z^3,3)

[Ke Le]

U , V and W are functions in variables x, y and z. I'd like the graph as a contour 3D plot or any other possible format.

[KSSV]

That we understood...but what does nth root does?

[madhan ravi]

@kssv

doc nthroot

[Ke Le]

nthroot(p, 2)----> squared root

nthroot(p, 3)---->cube root.

Or if not a problem one may write it as (p).^(1/3), right?

Answer 1

[Ameer Hamza]

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

[Ameer Hamza]

Ali Khan's comment posted as answer moved here:

Seems ok. Is there any way to see there plots in a better way? I don't think one would be able to understand what these graphs say.

[Ameer Hamza]

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]

[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