Plotting Seifert surfaces

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!

• Any code would be appreciated! – garej Apr 6 '16 at 20:00
• This is related. – J. M. will be back soon Apr 6 '16 at 21:38
• – Yves Klett Apr 7 '16 at 10:03
• @YvesKlett What about for a figure 8 on a seifert surface? – ematth7 Apr 7 '16 at 13:49
• 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.... – Yves Klett Apr 7 '16 at 14:06