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. In this document math basics needed to understand the material are reviewed, as well as the Theorem itself, how to implement the Theorem mathematically in two dimensions, creation of a computer program, and test cases proving the Theorem. 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.
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Estimated Worth: $87M - $128M
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Last Updated: April 10, 2026
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