Problem with drawing a hyperboloid

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Viktor Karlsson
Viktor Karlsson 2021-5-28
回答： DGM 2021-5-28
Hello,
I wrote the following code:
r=linspace(-3,3,21);
theta=linspace(0,2*pi,63);
m = 1
[R,THETA]=meshgrid(r,theta);
X=R.*cos(THETA);
Y=R.*sin(THETA);
Z = R;
C = (X.^2 + Y.^2 - Z.^2).^m;
surf(X,Y,Z,C)
axis equal
colormap jet
It becomes a cone-like hyperboloid instead, and I can not figure out where I am getting it wrong.
Any help is appreciated!
Thanks in advance.

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回答（1 个）

DGM
DGM 2021-5-28
You get a simple bicone because
Z = R;
and the colormapping looks random because
C = (X.^2 + Y.^2 - Z.^2).^m;
is essentially zero (it's just a collection of rounding errors, really), since
Z^2 = R^2
R^2 = X^2+Y^2
I'm not really sure what you're intending, but that's why you're getting what you get.

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