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How to fill the space between two surfaces?

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xin
xin on 13 Sep 2024 at 14:26
Commented: xin on 14 Sep 2024 at 11:25
If f1(x,y)≤z≤f2(x,y), how to draw the range of z? If the upper and lower limits of z are described by separate functions, how to plot the range of the z function in the direction of the z-axis instead of two surfaces?
x=-5:0.1:5;
y=-5:0.1:5;
[XX,YY]=meshgrid(x,y);
for m=1:101
for n=1:101
z1(m,n)=x(m)^2+y(n)^2;
z2(m,n)=3*x(m)^3+y(n)^2+1;
plot3([XX(m,n) XX(m,n)],[YY(m,n) YY(m,n)],[z1(m,n) z2(m,n)])
hold on
end
end
hold on
The code to draw only 2 surfaces is given here.
x=-5:0.1:5;
y=-5:0.1:5;
for m=1:101
for n=1:101
z1(m,n)=x(m)^2+y(n)^2;
z2(m,n)=3*x(m)^3+y(n)^2+1;
end
end
surf(x,y,z1,"EdgeColor","none")
hold on
surf(x,y,z2,"EdgeColor","none")
  1 Comment
Torsten
Torsten on 13 Sep 2024 at 14:49
But you will see nothing "behind" the planes x = -5 and y = -5. So does it really make sense what you want to do ?

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Accepted Answer

Taylor
Taylor on 13 Sep 2024 at 14:47
If you are looking to plot the volume of filled space between the two surfaces, I believe this post has the answer you're looking for.

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