The curve you see here on the right is given by the folowing parametric equations:
You can change the appereance of the curve by entering different value's for the variables in this equation.
The "Random" button only chooses natural integers (e.g. 1,2,3..), but it is allowed to enter other numbers, like 1.23 or 3.14.
The problem with such numbers is that they cause an increase in the curve's complexity. Those curves will therefore not be completed
at t = 48 π, and you will have to manually adjust the interval.
(something my program isn't very good at).