Solutions: Are All Sides Equal?
The challenge in Are All Side Equal? was to place nine, ten, and eleven pennies along the edges of a sheet of paper so that there was an equal number along each side. In the solutions below, each circle represents a penny. Two oververlapping circles represent two pennies stacked on top of each other, while three overlapping circles represents three stacked pennies.
With nine pennies, there are two
solutions, one with 3 pennies on a
side and one with 4.
There are three solutions
with ten pennies. There can
be 3, 4, or 5 pennies on each side.
There are three solutions
with eleven pennies. There
can be 3,4 or 5 pennies on
each side.