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Is it possible to make a Seifert surface in Mathematica, such as a Seifert surface for a trefoil knot?

I was thinking of taking the parametrization equations for a trefoil knot and then somehow incorporating a band with it, but I'm not sure if that's possible.

Any help would be appreciated!

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    $\begingroup$ Any code would be appreciated! $\endgroup$
    – garej
    Commented Apr 6, 2016 at 20:00
  • $\begingroup$ This is related. $\endgroup$
    – J. M.'s missing motivation ♦
    Commented Apr 6, 2016 at 21:38
  • $\begingroup$ See e.g. reference.wolfram.com/language/ref/KnotData.html $\endgroup$
    – Yves Klett
    Commented Apr 7, 2016 at 10:03
  • $\begingroup$ @YvesKlett What about for a figure 8 on a seifert surface? $\endgroup$
    – ematth7
    Commented Apr 7, 2016 at 13:49
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    $\begingroup$ Uh, no answer, just wanted to inform you of the existence of KnotData to get you a head start (preferably for a self-answer ;-) ). The more detailed your question, the better the chances to get stellar help here, so feel free to edit in code/sample images etc.... $\endgroup$
    – Yves Klett
    Commented Apr 7, 2016 at 14:06

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