How to plot the following surface
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How to plot the following surface: 
Which type of parametrization is required to plot it... please give me a code
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fimplicit3(@(x,y,z) (z-1).^2-x.^2-y.^2, [-3 3 -3 3 1 3] )
Sam Chak
2022-6-10
Sometimes I have troubles visualizing the geometry. Can I plot like this? It should look like an inverted cone.
x = linspace(-sqrt(2), sqrt(2), 41);
y = x;
[X, Y] = meshgrid(x, y);
Z = sqrt(X.^2 + Y.^2) + 1;
surf(X, Y, Z)

4 个评论
Atom
2022-6-10
Sam Chak
2022-6-10
Because the inverted cone appear to be symmetrical, I assumed
and solved this equation to find the value of x that gives
:

to obtain
.
After that, I generated a linearly spaced vector on the x-axis variable, or in simple terms, created 41 points between
and
.
x = linspace(-sqrt(2), sqrt(2), 41);
And I do the same for the y-axis variable.
x = y
Atom
2022-6-10
Sam Chak
2022-6-10
Don't mention it. Aha... now I remember. You are the one who asked how to draw a Cylindrical structure inside a Dome. It's a good learning experience.
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