I have a small square inscribed by an outer square, where the degree of tilt is given by theta. The length of the outer square is also given by L.
If I were to rotate the inner square by the red center point to set it up right (what was in gray becomes purple in the image), I have 2 "parallel" squares, leaving a margin between the two. What I need to know is the width of the margin, or the width of the inner square (given any one, the other would be easy to find anyways.)
How do I go about this mathematically?