Baby corgle!
UPDATE: This is what I meant to post.
This is actually not so much about sammiches.
First, prepare the artichoke as you normally would (Cut off the bottom stem, cut off the top inch, cut off all the prickly points, pull off the bottom few layers of leaves.) Then boil them in salt water for 30 minutes. Take them out and drain them upside down. Pull them open and pull out the middle purple leaves, and use a melon baller to remove the choke. Now you can put whatever you want in them, and then bake them in the oven till they are tender. Above is a fried egg in the middle, but if it were me, I'd just crack an egg in the middle and then bake it.