I want to sketch the parametric euqations lies on the cone, but the cone is so small and the lines are sparser than it should be.
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parametric euqations is x=tcost, y=tsint, z=t
and the euqation of the cone is z^2=x^2+y^2
my code looks like this
t=linspace(-2*pi,2*pi,100);
x=t.*cos(t);
y=t.*sin(t);
z=t;
plot3(x,y,z);
hold on;
u=linspace(-2*pi,2*pi,100);
v=linspace(-2*pi,2*pi,100);
[u,v]=meshgrid(u,v);
x=cos(u).*sin(v);
y=cos(u).*cos(v);
z=cos(u);
surf(x,y,z)
I can't find any mistake in my code.
Answer is that the line should be denser.
What is the problem of my code?
I appreciate any help. Thank you.
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Accepted Answer
Star Strider
on 19 Sep 2020
Scale the size of the cone up by multiplying its variables with some appropriate constant (that I call a ‘Magnification Factor’ here).
Example —
t=linspace(-2*pi,2*pi,100);
x=t.*cos(t);
y=t.*sin(t);
z=t;
plot3(x,y,z, '-r', 'LineWidth',2);
hold on;
u=linspace(-2*pi,2*pi,100);
v=linspace(-2*pi,2*pi,100);
[u,v]=meshgrid(u,v);
x=cos(u).*sin(v);
y=cos(u).*cos(v);
z=cos(u);
mf = 6; % ‘Magnification Factor’
surf(x*mf,y*mf,z*mf, 'EdgeColor','none')
grid on
axis('equal')
producing:
.
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