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Thank you for quick answer! But still we have a problem with plotting. We have this equasions: for sphere:

parametric_plot3d((sin(u)*cos(v),sin(u)*sin(v),cos(u)),(v,0,2*pi),(u,0,2*pi))

for cylinder:

parametric_plot3d((sin(v),cos(v),u),(v,0,2*pi),(u,0,2*pi))

and viviani's curve:

parametric_plot3d((sin(v)*cos(v),sin(v)*sin(v),cos(v)),(v,0,2*pi))

and now we don't know how to put it all together. :(

Hello! How can I plot Viviani's curve in Sage onto cylinder and sphere? My problem is putting sphere into or inside cylinder and then put Viviani's Curve on this.

here is example http://upload.wikimedia.org/wikipedia/commons/0/05/Viviani_curve.png