This post has been updated. See new info below…
To make the prefect hard-boiled egg each time, you actually do not boil it.  You bake it.

Cooking instructions: Put the eggs in a muffin tin and bake for 25 min. at 325.  Take the eggs out and put into a bowl of ice water until cooled.  The perfect egg.

Update:
After doing this several times, I noticed a small brown dot on the eggs where they touched the pan.  Not really a big deal as you can just pinch the brown dot off however to get rid of the small burn mark, just use a silicone muffin pan or muffin cups, like this:

Props to Alaskafromscratch and Me!

Flashback Post: Stain guide | For more tips go tohttp://tiptomato.com/ | For a few laughs go to: http://funnycabbage.blogspot.com/