The goal of this code is to generate a picture with a white sphere at first then with different colours.
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First, for the plane I cannot have a correct normal vector. Example : A plan with an origin of x = 0, y = 5, z = 0, the normal vector should be : x = 0, y = -5, z = 0. BUT, it does not work as we want.
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Second, we had to replace our implementation of the ray plane intersection with the official one from GLM. It works now.