My main issue with the rule is that it calls pumpkin pie bent toast, when it is obviously a missing category of type (2) where instead of being disjoint like th

My main issue with the rule is that it calls pumpkin pie bent toast, when it is obviously a missing category of type (2) where instead of being disjoint like the sandwich, the 2 pieces of starch are connected at an edge. Likewise there should probably be a category of type (3) where all pieces of starch are joined at a corner and a category of type (4) where it’s like a type (5) but with one of the sides removed. I believe with those three additions all rotationally-unique cube configurations would be accounted for by the rule.