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Rotating triangle on lattice points

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avd122 daga

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Oct 5, 2009, 8:56:20 AM10/5/09
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Say I have a traingle with vertices (0,0), (240,0), and (240,180). With I want to rotate this triangle about (0,0) so that the coordinates of the vertices remain integers. I want to count the number of such triangles which upon rotation have integer coordinates. What would be the algorithm for this?
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