Birbal
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I remember a long time ago when I was active duty I had a conversation with an aerodynamicist from General Dynamics and he said that the best airframe for high 'g' maneuvers, as in lethal for humans, is the classical 'UFO' style saucer or very flat ovoid shapes when view from the side. It has to do with longitudinal stresses on 'conventional' airframe shapes. Without humans, the F-104 and SR-71 would still have very limited maneuverability at Mach because of their 'long' airframes, greater than with humans, of course, but the gain would not be worth the lack of human intelligence for a mission. A sphere is the best of them all. May be that is why the Borg uses it. It has to do with how stresses are distributed during maneuvers.
All those gs during a maneuver are generated by lift (with current thrust to weight ratios, you can only get about one g from the engine itself, and some of that goes towards canceling drag). A sphere would not be able to generate lift for high g maneuvers. To generate lift, you need some sort of flat shape (could be a saucer), which will generate lift in the direction perpendicular to the flat shape. That means it would not be a longitudinal stress, and so the shape would not be optimized for taking such stress.