MathDB

A unit square is decorated with snippets of the graph of

y = x^2

as follows: We consider the graph of

y=x^2

restricted to the domain

0 \le x \le 6

. We cut up the first quadrant (the positive quadrant) into unit squares with lattice vertices. We translate each square so that they are stacked, one on top of the other. We merge all of these squares. How many regions is the unit square divided into by all the overlaid snippets of the graph of the parabola?

Problem Statement