FIVE- M IN U T E A N A LYST
When analyzing putting bricks in
round cups, there are two approaches
one may take: The first is to consider
how many squares may be packed in
a circle in any arrangement, which is
known as Square Packing [1]. The other
approach is to ask how many integer lattice points may be contained in a circle
of radius r. We usually think of building
Legos with a lattice because we want
to build layers on top of layers, so we
choose this method. It turns out that a
similar problem was studied by Gauss
and is known as Gauss’ Circle Problem [2]. The key idea is to realize that
the number of lattice points insid HB