What do we really know about the transonic zone?

[Semtav]

A few years back, I did some internet research (yea I know) about the best nose shape for flight in the transonic region. Most of what I found came from rocketry. Best i could tell, the parabolic nose was the recommended nose for this type flight, so I spent one summer playing with formulas til I got the parabolic nose shape I wanted. Sent the formula off to Rick to have him make one. Unfortunately he wasn't able too, so I wound up with an elliptical nose instead.
Still someday I'd like to get a mould with that nose shape I came up with to see what it did different from the elliptical and money noses I have.