title: Maximum Projection FIeld of View
body: <p>What is the maximum field of view that can be accomplished via a projection matrix with no distortion? There is a hard limit of &lt; 180 degrees before the math completely breaks down, but experimenting with 170-180 degrees leads me to believe that distortion and deviation from reality begins prior to the hard limit. Where does the point at which the projection matrix begins to distort the view lie?</p>
  
  <p>EDIT: Maybe some clarification is in order. As I increased the FOV angle toward 180 with a fixed render size, I observed objects getting smaller much faster than they should in reality. With a fixed render size and the scene/camera being identical, the diameter of objects should be inversely proportionate to the field of view size, if I'm not mistaken. Yet I observed them shrinking exponentially, down to 0 size at 180 degrees. This is undoubtedly due to the fact that X and Y scaling in a projection matrix are proportionate to cot(FOV / 2). What I'm wondering is when exactly this distortion effect begins.</p>