>It shouldn't need more than 3 variables But you do. Think about what it means to describe orientation. You need enough degrees of freedom. When describing rot

>It shouldn't need more than 3 variables But you do. Think about what it means to describe orientation. You need enough degrees of freedom. When describing rotation of of a sphere projected onto a 2d plane, having two variables (X,Y) isn't enough. Because the sphere could rotate about the axis between the origin and that point. There's an an entire degree of freedom you could describe for a complete rotation about that axis. In the same way, having 3 variables to describe a quaternion rotation is not enough. You again, have an entire degree of freedom you could rotate the quaternion about.