How do I draw a specific type of 3d mesh for a implicit function?
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Here is the implicit function:(x1, x2, x3 are all in range [0,1])
p = 1;
f = @(x1,x2,x3) x1.^p + x2.^p + x3.^p - 1;
I want to draw this type of plot:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/145020/image.png)
Here is what I get:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/145021/image.png)
I want to get the same mesh as the first figure.
This is my way of generating the second figure:
p=1;
f = @(x1,x2,x3) x1.^p + x2.^p + x3.^p - 1;
[x,y,z] = meshgrid(0:.05:1,0:.05:1,0:.05:1);
v = f(x,y,z);
h = patch(isosurface(x,y,z,v,0));
isonormals(x,y,z,v,h)
set(h,'FaceColor','none','EdgeColor','r');
xlabel('x');ylabel('y');zlabel('z');
alpha(1)
grid on;
view([1,1,1]); axis equal;
When I use fimplicit3, I get the same result as the second figure:
p=1;
f = @(f1,f2,f3) f1.^p + f2.^p + f3.^p - 1;
interval = [0 1 0 1 0 1];
fimplicit3(f,interval,'FaceColor','none','EdgeColor','r');
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