Find a shape for which the area of the largest inscribed triangle is equal to the area of the largest inscribed square.
No doubt there are an infinity of such shapes, but you must find one that can be expressed by a simple equation of order 2 or less, combined with constraints on the domain and range.
Bractals' answer was the one I had found. Jer's works also. I wonder if there are more.

Posted by Larry
on 20070612 21:38:35 