It is really quite simple to explain. (After all, Einstein said that if you can’t explain it simply then you don’t really understand it.) The simple explanation is that I copied and pasted that out of wiki a couple of years ago and have kept it around for whenever graphene comes up. Now you know as much about it as I do.
I was knocked off my feet trying to decipher the complexity of your graphene description. Now I know how receptionists felt when I explained building data rooms, and interconnecting servers with routers and getting all their computers to interact. Now that you explained the magic, some of the awe factor is gone... but maybe I can use your explanation to awe some others... (Just kidding. You really had me going there.)