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).
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.
https://twitter.com/KangarooPhysics/status/1381380025568616459
https://twitter.com/KangarooPhysics/status/1381629223819960329
https://twitter.com/KangarooPhysics/status/1382078099676860419
https://twitter.com/KangarooPhysics/status/1417217194807734274
To combine multiple curves we can simply sum the values.
https://twitter.com/KangarooPhysics/status/1381710087698399237
• • •
Missing some Tweet in this thread? You can try to
force a refresh
