# Plot a function of three variable

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Md Borhan Mia on 16 Jan 2019
Edited: VBBV on 14 Oct 2021
Hey, I want to plot a function of three variables. Consider that I have a function like f(x,y,z)=x^2+y^2+z^2-3xyz, I want a surface plot of this function. How can I do that? Thanks!

KSSV on 16 Jan 2019
f = @(x,y,z) x.^2+y.^2+z.^2-3*x.*y.*z ;
x = linspace(-1,1) ;
y = linspace(-1,1) ;
z = linspace(-1,1) ;
[X,Y,Z] = ndgrid(x,y,z) ;
F =f(X,Y,Z) ;
figure
hold on
for i = 1:100
surf(X(:,:,i),Y(:,:,i),Z(:,:,i),F(:,:,i)) ;
end
##### 2 CommentsShowHide 1 older comment
Shubham on 17 Nov 2020
syms X Y Z
f = @(x,y,z) x^2 + y^2 + z^2;
surff = f(X,Y,Z);
fimplicit3(surff)

VBBV on 14 Oct 2021
Edited: VBBV on 14 Oct 2021
f = @(x,y,z) x.^2+y.^2+z.^2-3*x.*y.*z ;
x = linspace(-1,1) ;
y = linspace(-1,1) ;
z = linspace(-1,1) ;
[X,Y,Z] = ndgrid(x,y,z) ;
F =f(X,Y,Z) ;
figure
hold on
for i = 1:100
surf(X(:,:,i),Y(:,:,i),Z(:,:,i),F(:,:,i)) ;
end
axis([-3 3 -3 3]);grid minor
view(3); Use view function to view the 3Dsurface plot

R2018a

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