The Trefoil Knot is a 3D curve totally drawn on a torus' surface. Part of the toroidal knots family, it is defined by the following parametric equations:
- x = (2 + cos 3t) cos 2t
- y = (2 + cos 3t) sin 2t
- z = sin 3t
for t between 0 and 2*π
These earrings were modelled by twisting a square profile around a curve defined by the equations above.
A couple of curious facts about these:
- While touching one face, it takes four full turns around the axis to return to the starting position. That means that this knot is also a Möbius Strip and therefore is a solid with only one surface and one edge.
- One earring is the mirror image of the other, but they are not topologically identical. That means that one can not be deformed into the other. Therefore there is a right-hand knot and a left-hand knot (Chirality).