What is the mathematical term describing a pipe or a tube?

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I believe in this case, the proper mathematical term for the region would be tube (or tube domain, depending on your focus), so the corresponding surface would be the surface of the tube. While pipe is not (to my knowledge) a formal mathematics term, it is used as a physical example in enough problems (both real and created) that the meaning would be just as clear.

Consider: Mathworld definition of 'tube'

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Alessandro Jacopson
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Alessandro Jacopson

Updated on August 01, 2022

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  • Alessandro Jacopson
    Alessandro Jacopson over 1 year

    I am interested in this unanswered question Pipe-fitting conditions in 3D and so I was trying to find information about it.

    If the 3D curve $f(x(t), y(t), z(t)) = 0$ is a line I think that the pipe of diameter $D$ around it can be called the surface of a cylinder, but what is a proper mathematical term for describing that surface when $f$ is not a line? Tube? Pipe?

  • Alessandro Jacopson
    Alessandro Jacopson over 7 years
    +1 it was so simple... I looked at the "SEE ALSO:" section at mathworld.wolfram.com/GeneralizedCylinder.html and mathworld.wolfram.com/Cylinder.html and I did not find tube...