Lissajous Space Curve

lissajous curves  001
lissajous4 3 23 knot 001
lissajous4 3 23 knot
There are two views in this sequence where overpasses and underpasses alternate. This lissajous space curve is an alternating knot, hence cannot be drawn with fewer crossings.
lissajous2 5 13 knot 001
lissajous 2 5 13 knot
There are two views in this sequence where overpasses and underpasses alternate. This lissajous space curve is an alternating knot, hence cannot be drawn with fewer crossings.
lissajous3d
Lissajous Space Curve (shown as a tube, Frenet frame)

Lissajous_Curves__prime_knot_7_4.pdf