Surfaces31 of 113
Torus and knotted tube
surface of revolution of a circle
Spin a circle of radius r around an axis at distance R. While r < R the hole stays open; at r = R it pinches to a point (the horn torus); past it the surface passes through itself (the spindle torus). The second variant threads a tube along a trefoil knot.
((R + r cos v) cos u, (R + r cos v) sin u, r sin v)
On mathcurve.com as Tore
Variant
Drawn as