The curves are defined by these equations:

c(t) = RR*[ sin(xfrequ*t), cos(yfrequ*t), sin(zfrequ*t)/4 ]

The curve shows the movement of an oscillator with different frequencies in x-, y- and z-direction.

The default frequencies show knots with alternating under/over. Such alternating knots cannot be drawn with fewer crossings.

c(t) = RR*[ sin(xfrequ*t), cos(yfrequ*t), sin(zfrequ*t)/4 ]

The curve shows the movement of an oscillator with different frequencies in x-, y- and z-direction.

The default frequencies show knots with alternating under/over. Such alternating knots cannot be drawn with fewer crossings.

Lissajous_Curves__prime_knot_7_4.pdf