Curious to see where you would have run into other Foursquare users? Want to reminiscence about all the places you've been together with someone? Are you Ted from How I Met Your Mother, and now that you've finally met the mother, you want to know what all your missed opportunities were?
Don't worry, we won't update your status or otherwise mess with your checkins.
About the name: Intersections + Foursquare = Intersquares.