The Problem


Original Discussion




Demonstration 4. Area maximum for convex pentagons

In this demo, you can move around the topmost point of the pentagon by clicking in the window, and you can move the two green points by changing the value of the "position" variable in the controls window.

This demo shows how it is possible to achieve an area ratio of .75 for a convex pentagon. In the next demo you can see that the area ratio for a non-convex pentagon is actually unbounded(!)