Uh, you say that the three points form the apex of the triangle. Do you mean the three points form the triangle? An apex(point) is one point, right?
Assuming I'm thinking about this correctly...
It's something more along the lines of degrees from the center of the square. Thinking about the four quandrants of the square formed by perpendicular lines bisecting the square, the points have to fall in certain areas inside those quadrants. Starting upper right at one and numbering them clockwise, we've got two cases I see right off the bat. If the first two points are in adjacent quadrants, the third must be...shit. I'm going to go think about this. God damn you for making me do math on a Saturday!
