Comes from the fact that a lot of police back in the 60's joined straight of the military and they brought with them the very short military haircut that gave them the appearance of fuzz on their heads. When they took their
hats off, your
first comment might be, hey look, it's the fuzz. It's a style of haircut that made wearing a police hat more comfortable and cooler to wear......still
in vogue today and used by many police officers around the world.