Stunt planes have symmetrical wings.
They still have an aerofoil (teardrop) shape but instead of relying on the shape itself to produce lift while flying in a straight line, the wing relies on angle of attack.
The wing is tilted up slightly into the wind creating the same effective as a normal wing. Lower air pressure on top and higher pressure underneath generates lift.
When flying upside down they merely point the plane down (towards the sky) to keep generating lift
One of the major downsides being this is inefficient as it generates a fair amount of drag reducing the planes top speed.
Jet fighters and the like can also fly upside down, but only briefly before they run into problems. The main issue is that they rely on gravity to help run fuel from the wings into the engines and pumps, so after 10-30 secs this becomes a real problem.
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