Create curve from equation.
I would use cylindrical coordinates
Z=0
Theta=t*360
R=A*sin(b*Theta)
My example that worked was:
z=0
theta=t*90
r=10+sin(15000*t)
You could then do the other wavelengths in the other 3 quadrants.
I'm not sure this is what you would need, I would need more details.
Thank You,
Vaughn McDaniel III
Mechanical Engineer
JR Automation
13365 Tyler
Holland, MI 49424
Ph 616.820.3330
Fx 616.399.4443