I have long argued that every marriage can be improved by the addition of Mathematica. Here is my latest attempt. My wife is making a Memorial Day quilt pattern which has a focal point composed of 16 irregular polygons, thus

Finding the size of those polygons involves no more than having the points of the polygon corners. So far, Binarize, DiscretizeGraphics, ImageCorners, ImageLines and various combinations of them have all failed to create a mesh for this image so I can grab the points with my cursor, or otherwise.
I also suspect that Mathematica can also count all the stars, but first things first...