ArXiv: Minimizing the footprint of your laptop (on your bedside table)

We are considering all placements of the laptop such that it will not topple o the table;
these are exactly the placements for which the midpoint of the laptop is also a point of the
table. We are then interested in determining for which of these placements the footprint of the laptop is of minimal area; here, the footprint is the common region of the laptop and the table.