I am trying to write the parameterization of a helix made up of a helix which is also made up of a helix. I have the parameterization of a helix of a helix.
x=(R+acos(t))cos(t/w)
y=(R+acos(t))sin(t/w)
z=ht+asin(t/w)
I have tried to further extend this to a third slinky by adding the third radius and multiplying x,y,y by the same trig functions that are progressing at a slower rate.
cos(t/10*w)
sin(t/10*w)
sin(t/1w)
I would appreciate and help with this problem