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Collision Points on a Triangle

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I am writing a simulation program and need to find points on a triangle that intersect a sphere, I have the collision normal and the penetration depth of the triangle but I need to go from there and figure out a subset of points on a triangle that are on the surface of the circle. Has anybody got any ideas on how given the triangle, sphere radius, collision normal and penetration depth I can work out a few points on a triangle that lay on the surface. (lets says 4 points of each triangle that intersect) Thanks

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