: Draw lines by clicking on two points that the line passes through.
You'll want to keep most of the intersections on screen; dragging the second point before you release may help, otherwise you can always use the scrollbars to navigate through your arrangement.
Clicking on MaxDepth will compute all points of maximum depth. The status line at the bottom of your webbrowser will display a message about the structure of the polygon, points and/or edges of maximum depth.
The yellow search line indicates where the binary search stopped, the blue polygon is the first potential polygon of maximum depth, the pink vertices are points of maximum depth and the red edges are part of a chain of maximum depth edges. The red and green arrows indicate top directions.
MaxDepth (step) steps through the binary search. The yellow search line sprouts red and green arrows indicating the topmost directions that define the regression depth in each cell that they intersect---from this information, the search can decide whether to continue to the left or right.
ResetMaxDepth allows you to add more lines and search again. ResetAll clears lines as well.