The animation to the right implies that we can eat an infinite amount of chocolate from the same chocolate bar, but it is misleading—after each reassembly of the chocolate bar, the height of the chocolate bar actually decreases slightly.
Suppose you kept on cutting, taking out one whole piece while reassembling the remaining pieces into a solid rectangular bar without holes. How many whole pieces can be taken out in this way?
Let the number of whole pieces removed from the bar—out of the ten pieces labeled 1 to 10 below—be and let the number written on the last piece removed be
What is
Details and Assumptions: