The wings on my hat

Late yesterday afternoon I was on a walk in nearby woods when this butterfly showed up and landed on my hat. I got my camera ready, took off my hat, but the butterfly flew away. I put my hat back on and the butterfly came back and landed on it again. This went on several times. It must have been a funny sight. Finally, I took off the hat and held it in front of me, the butterfly returned and I snapped a picture of it.

I believe it is one of the anglewings (genus Polygonia). I wonder what was attracting it to my hat.