Note: Conversely, forget the instructions and pile everything on. It's a quesadilla. It'll be delicious anyway.
Melt half of the butter in a skillet over medium heat. Coat one side of the tortilla and flip over.
Mix together the cheese and sprinkle half of the cheese over the tortilla. Top one side with 4 thin slices of avocado and half of the chopped artichokes. Let the cheese melt for 30 seconds and fold over.
Cook on one side for 30 seconds, then flip over and cook until the cheese has melted, for another 30-60 seconds. Remove from the heat and cover for another 30 seconds. Repeat with the remaining tortilla, top both with the remaining avocado and fixings of your choice.