June 13th, 2010

Although I would like the QotW to be more applied I sometimes consider interesting proportions between geometric shapes. Imaging you have two perfect spherical oranges on a table. They are touching and there is a compressed Eiffel Tower shape between them and the table. You have a bowl of grapes and would like to roll the biggest one possible through this hole. In terms of the size of the oranges, what is the largest grape that will pass through the whole without pushing apart the oranges?