Web Reference: Oct 24, 2025 · To detect polygon collisions algorithmically, we turn to the separating axis theorem, which states: For any n-dimensional euclidean space, if we can find a hyperplane separating two closed, compact sets of points we can say there is no intersection between the sets. Aug 31, 2025 · In this article, we will first look at Axis-Aligned Bounding Boxes (AABB), then move on to Oriented Bounding Boxes (OBB), and finally show how the Separating Axis Theorem (SAT) allows us to detect collisions in 2D and 3D. Aug 6, 2012 · The Separating Axis Theorem (SAT for short) essentially states if you are able to draw a line to separate two polygons, then they do not collide. It's that simple.
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Last Updated: April 10, 2026
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