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Campaign Mission Wave Formations
The dots represent the exact location of the invader when the invader is considered to have fully arrived (when your weapons can damage the invader, and when they start their random movement.
The ellipses around the dot represent the general area the invader keeps to when moving around randomly. They can go beyond the perimeter defined by these ellipses. But if they do, they usually try to make their way back into the perimeter quickly.