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As an aside, with your great mathematical skills, would it be possible to calculate how many MPG's one would gain by removal of side mirrors or conversely how much one would lose if one were to add vent visors (to allow one to keep the side windows open without fear of rain getting in).
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Not saying he shouldn't give it a shot, but mirrors and visors ride within the turbulent boundary layer, while the antenna stands out. The situation is much more complex. That's why the Nissan Leaf has little glass fins on the headlight, to set up airflow across the rear-view mirrors a foot or two further back.
One might solder a 1/8" by 1/4" Isosceles triangle on the back side and hand file a Template profile.