the seemingly random inclusion of the golden mean as
one of the concepts.

I got this shape from looking at oar blade designs. See:
http://www.concept2.com/products/oars/oartesting2.asp
Also it's easy to test using cardboard. A 3x5 rectangle just feels
like the best air scoop - it catches the most air.

I'd think that you'd want to develop your idea to work in water before you
tried the thinner and vastly more difficult fluid of air.

I think a ray-shaped diving suit, made of sealed foam and with
knife-like but really controlable edges would move really well.