# Can I draw a net for a Steinmetz solid with a compass?

Can I draw a net for a Steinmetz solid from two cylinders with a compass?

That is, can we flatten the net? I often make a model using paper and a compass-- it looks about right... is it really a valid method of construction?

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I didn't know the term Steinmetz solid. For others in the same position: en.wikipedia.org/wiki/Steinmetz_solid . –  Joseph O'Rourke Nov 20 '10 at 15:43

If you solve $(x,y,z) = (\cos \theta, \sin \theta, z) = (x, \cos \phi, \sin \phi)$, you'll find that the curves are actually sinusoids, $z = \pm \cos \theta$.