Very convenient to have names, indeed. I had begun thinking about names, but these ones are great (maybe we would need left or right to distinguish the symmetric ones).
For beginners or people who haven't noticed: you don't need to look at this file to see if a certain shape exists and how many of it there are: all possible shapes with one to four exits exist. And if all the exits are in the same half of the card, it's a torch card, so there are three cards of this shape in the deck, otherwise it's not a torch card and there are two cards of this shape in the deck.
(And talking about helpers, I think it would be very handy to have an in-game helper showing how many cards of each type are placed or are left in the deck.)