Approximate translation:
How to make a graph (or part of a graph) of space from a given equation or inequality
Question:
Draw the spatial three-dimensional figure intercepted by the sphere x^2+y^2+z^2<=16 and the cylindrical surface x^2+y^2=4x.
My code is:
%Draw the sphere
phi=0:0.1:pi;
theta=-pi:0.1:pi;
[phi,theta]=meshgrid(phi,theta);
x1=4.*sin(phi).*cos(theta);
y1=4.*sin(phi).*sin(theta);
z1=4.*cos(phi);
surf(x1,y1,z1)
hold on
%Draw cylinder
s=-5:0.1:5;
t=-pi:0.1:pi;
[s,t]=meshgrid(s,t);
x2=2+2*cos(t);
y2=2*sin(t);
z2=s;
surf(x2,y2,z2)
The running result shows a graph formed by the intersection of two spatial surfaces.
My question: How to draw the solid in the first hexagram?
Try: I can't seem to achieve the ideal graph by changing the range of parameters.
