LOL at the furry hat/hedgehog!! So it's not just me then.
I once got flagged down by a Policeman on foot (his car was parked up) one frosty morning. I pulled over, unsure why (couldn't actually see the copper due to my windows and mirrors being totally iced up except for a small hole I'd cleared in the windscreen), sat for a minute, thought "No, he must have just been directing me down this road as a detour" (I was a new and confused driver), drove away a few yards, thought "No, he must have been pulling me over for something", stopped again, repeated the whole thing a couple more times before I heard a bellowed "OI!" ...
Pulled over again and eventually a very irritated and out of breath Police Officer caught me up and explained that he'd pulled me over because my tax disc wasn't on show. It had fallen on the floor.
From his POV, he'd waved me over, I'd stopped at the side of the road, let him ALMOST catch up, then driven off a few yards, let him catch up, then driven off again and so on 
I explained that I hadn't in fact been taking the piss but just didn't see him, due to aforementioned frosty windows. At which point he told me off again, advised me to clear them before I went any further, and stumped off.
His mate was just across the road in the Police Car and was absolutely pissing himself 