The idea that we should classify food by shape is clearly erroneous. Our food classifications should be based on
method of eating, not by shape! A sandwich is any food that uses a carbohydrate to protect your hands from a messier food, so that you can eat it at a card table without getting your hands dirty (a la the origin myth). Let's go through the things here:
Pizza: Yes
Sushi: Mostly no (the carbs don't protect you from the insides, the seaweed does)
Pumpkin pie: No (unless eaten with hands, without falling apart)
Quesadilla: Yes
Toast sandwich: No (inside is not messier)
Victoria sponge: No (eaten with fork)
Hot dog: Yes
Sub sandwich: Yes
Slice of pie: No (unless eaten with hands)
Falafel wrap: Yes
Pigs in a blanket: Yes
Enchilada: No (the one pictured has cheese and sauce on the outside)
Quiche: No (unless eaten with hands)
Cheesecake: No (unless eaten with hands)
Soup bowl: No (I'd love to see you try)
Falafel pita: Yes
Deep dish pizza: If eaten with hands
Salad in a bread bowl: No
Key lime pie: No (unless eaten with hands)
Calzone: Yes
Corn dog: No (if held with stick)
Pie (whole): No (good luck)
Dumplings: Yes (unless they have sauce on them)
Pop tarts: Yes
Uncrustables: Yes
This is the best and most accurate method that actually provides a strict definition that lines up with my intuitions—the cube rule is fun, but you're really gonna claim that a subway sandwich isn't a sandwich?
Pizza: Yes
Sushi: Mostly no (the carbs don't protect you from the insides, the seaweed does)
Pumpkin pie: No (unless eaten with hands, without falling apart)
Quesadilla: Yes
Toast sandwich: No (inside is not messier)
Victoria sponge: No (eaten with fork)
Hot dog: Yes
Sub sandwich: Yes
Slice of pie: No (unless eaten with hands)
Falafel wrap: Yes
Pigs in a blanket: Yes
Enchilada: No (the one pictured has cheese and sauce on the outside)
Quiche: No (unless eaten with hands)
Cheesecake: No (unless eaten with hands)
Soup bowl: No (I'd love to see you try)
Falafel pita: Yes
Deep dish pizza: If eaten with hands
Salad in a bread bowl: No
Key lime pie: No (unless eaten with hands)
Calzone: Yes
Corn dog: No (if held with stick)
Pie (whole): No (good luck)
Dumplings: Yes (unless they have sauce on them)
Pop tarts: Yes
Uncrustables: Yes
This is the best and most accurate method that actually provides a strict definition that lines up with my intuitions—the cube rule is fun, but you're really gonna claim that a subway sandwich isn't a sandwich?