by dimension: 1/2 x 1/2 : 8 1 x 1 : 16 + 2 (squares made up of 1/2 's) [18] 2 x 2 : 9 (3 rows of 3) 3 x 3 : 4 (a 3 x 3 square from each corner) 4 x 4: 1 (the whole thing) 8 + 18 + 9 + 4 + 1 = 40 40 (apparently i was off by one before i did this)

showing the math? I know what a square looks like, and I know how to count to 40. There is no showing anything. I declare myself the winner.