Math Art

This is my take on Crockett Johnson's Square Root of 2.  (Apparently, not only did he write Harold and the Purple Crayon, but he was interested in math art.)

I wanted to see how different numbers and different scales would work out.  This is an exploration of the square root of 4, 9 and 16.  If you want to find the square of a number n, make a semicircle of diameter n+1; the length of the perpendicular from n to where it meets the arc of the semicircle will be the square root of n.  Somehow this is related to the Pythagorean Theorem, but I haven't quite figured that part out.