parametric plotting over regions bounded by two curves in the plane
Maple's parametric plot3d command allows the limits of the second of the two parameters to be functions of the first. For example, to plot the intersection of two circular cylinders enter
c1 := plot3d([cos(t), y, sin(t)], t = 0 .. 2*Pi, y = -sin(t) .. sin(t), color = green) c2 := plot3d([cos(t), sin(t), z], t = 0 .. 2*Pi, z = -sin(t) .. sin(t), color = blue) display(c1, c2)
This generates a plot of the intersection region with the portions of the cylinders extending beyond the region removed. Is it possible todo the same with Sage's plot3d commands?