Thread:Talk:Maximum Escape Angle/Is wiki wrong about MEA?/reply (16)

No, traditional MEA is correct, as long as wave speed > robot speed.

I can prove that, but not formally.

If your speed < wave speed, you'll always be hit.

Since you'll always be hit, that's all about where you are hit.

Assume that there is one point you are hit, and that point gives you max escape angle — If you don't go there directly (by a straight line), math says you'll always have a shorter path, which gives you extra time. And you can always use that time to increase your MEA, which contradicts to "that point gives you max escape angle". Therefore MEA must be reached by moving along a straight line.

Since MEA must be reached by following a straight line — All the possible hit location forms something similar to ellipse — however I yet not proved it is an ellipse, but it looks like that, and when wave speed = 2 * robot speed, it is an exact circle (which I have a proof).

Anyway, since it looks like an ellipse, the MEA is always reached when you move perpendicular to the HOT angle.