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I need an implicit function that plots the surface that I am showing you in the picture. Everything you need is shown there. The surface is a tube in the shape of a parabola. The radius of its cross-sections is $3$.

parabola

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    Do you mean that it should be a parabolic tube with a circular cross-section of radius 3?2012-05-15
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    I found a way. (0.75-sqrt(y^2+z^2/3))^2+x^2<0.030 gives me a parabolic tube with enough radius. Now I should rotate it by 45 degrees. Any hint?2012-05-16
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    Hi TyTiKi; What software did you use?2014-11-14
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    A parabola shaped toroidal tube. If not ok, I can put back old title before edit.2015-08-18

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