Consider a flexible square of uniform density with vertices (0,0), (0,1), (1,0), (1,1). I need the 4 coordinates for rolling contacts along the diagonals that will stably support it. Someone could just test it. Open to all thoughts and ideas.
This seems to be similar to the Bessel Points problem, but now in 2D. Guessing the answer is around (.22, .22), (.22, .78), (.78, .22), (.78, .78). How can I find this answer?