How many squares of any size will fit on an 8x8 checkerboard? Before you click the green flag, think about it and experiment on your own. Make a conjecture. Think about how you could generalize this to an NxN checkerboard. Want to see more? Read about square pyramidal numbers here: http://en.wikipedia.org/wiki/Square_pyramidal_number
Props to Mr. Clarke at Solorio Academy for showing me this problem in its original form, and his powerpoint that illustrated the visualization I was inspired to animate here.
