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Calculate Triangles & Determine Planes from 7 3D Points???

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I have 7 3d points. is there any way to triangulate these points to give the outer mesh above? i have a triangulate method but at the moment it triangulates them in a way that ignores the planes and faces, i need some how to pass in the 7 3d points and some how detect which plane the triangles belong to. is this possible?

Thanks


james


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