I was afraid it would be complex, I just don't have enough trig knowledge to know where to even begin.   I really didn't have any dimensions in mind yet.  The different things I would like to make (of course you guessed it the bishop) along with a host of other uses,  
airplane prop spinners, candlesticks that kind of stuff.   If you have some ideas on the basics, tell me more about the fixed ratio curve.  I will search the internet for something to read on it.  
I am looking at fairly small diameters 2" to 1" , and fairly short lengths 2" and less.
Arn