3.5 Space Curves in Matlab
3.5 Space Curves in Matlab
3.5 Space Curves in Matlab
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256 Chapter 3 Plott<strong>in</strong>g <strong>in</strong> <strong>Matlab</strong><br />
compute x, y, and z.<br />
x=r.*cos(theta);<br />
y=r.*s<strong>in</strong>(theta);<br />
z=r;<br />
Draw the right circular cone <strong>in</strong> a<br />
shade of gray.<br />
mhndl=mesh(x,y,z)<br />
set(mhndl,...<br />
’EdgeColor’,[.6,.6,.6])<br />
Hold the surface plot and draw<br />
the plane z = y + 0.25.<br />
hold on<br />
[[x,y]=meshgrid(-1:0.1:1);<br />
z=y+0.25;<br />
phndl=mesh(x,y,z);<br />
set(phndl,...<br />
’EdgeColor’,[0.625,0,0])<br />
Adjust orientation.<br />
axis equal<br />
view(77,50)<br />
Annotate the plot <strong>in</strong> the usual manner.<br />
The <strong>in</strong>tersection is a parabola, as<br />
<strong>in</strong>dicated <strong>in</strong> the title.<br />
11. Set parameters a, b, and c.<br />
a=7;b=2;c=3;<br />
Set the grid for the torus.<br />
u=l<strong>in</strong>space(0,2*pi,20);<br />
v=l<strong>in</strong>space(0,2*pi,40);<br />
[u,v]=meshgrid(u,v);<br />
Use the parametric equations to<br />
compute x, y, and z.<br />
x=(a+b*cos(u)).*cos(v);<br />
y=(a+b*cos(u)).*s<strong>in</strong>(v);<br />
z=c*s<strong>in</strong>(u);<br />
Draw the torus <strong>in</strong> a shade of gray<br />
and add transparency. Set the perspective<br />
with axis equal.
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