Yes, we can! On the left an
oriented surface, bounded by a figure 8 knot is shown.
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A different view. The top
and bottom have the same shape, though that's hard to see.
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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. |