To give a bit of explanation of this and some of the knot surface animations I've posted previously-
The solid angle of a curve is the signed area inside its projection onto a unit sphere (note the flip as it moves around the outside).
We can consider this value at all points in space as a scalar field and generate it for any closed oriented curve.
Taking the level set of this field we get a mesh which spans the curve.
Varying the value we take this contour at we can get a whole family of surfaces filling space.
To combine multiple curves we can simply sum the values.
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