Stone and Window Problem
To simulate the rolling of the stone, slide the 'Position of the Window' slider to the left. The other sliders will allow you to test the problem with different size stones and windows. The Stone can have a radius as large as 132 units and the Window can have a side as small as 0.01 units. This is proportionally the same as a 100 mile diameter stone and 20ft tall window. (Leave size sliders as they are in order to see the exact problem we worked on). If you want to see other scenarios (bigger window, smaller stone, etc.), you can adjust the sliders, but you will most likely have to zoom out to see the stone and window. Note: This is zoomed in a LOT. If you zoom all the way out so you can see the whole stone, you'll see (or won't see!) how small the window is proportionally.
This was the final challenge problem of the AMP 2012 Summer Institute.