Figure 8 knot

Yes, we can! On the left an oriented surface, bounded by a figure 8 knot is shown.


A different view. The top and bottom have the same shape, though that's hard to see.


Here's a simpler version of this surface for the figure 8 knot.  Three disks, connected by twisted bands.

Next question. Can we generate such surfaces for any knot? For an answer, click here.