Gently put eggs in a bowl of warm water (this is important so your eggs do not crack when placed in boiling water)

Meanwhile put a pot on stove with enough water that it will cover eggs. Bring to boil.

With large slotted spoon gently lower each egg into boiling water. Put lid on and return to a low-medium boil. Remove lid and continue boiling.

Set timer for 13 minutes.

When time is up place pot in sink and continue running cold water into pot for about 1 minute.

Now pour out 1/2 water and put plenty of ice in pot to fill to the top. Wait 2 min.

Now crack crack crack eggs gently on countertop all the way around egg. Peel eggs. The shells should practically slide off.

This is a no fail way to have the shells come off completely without fuss :-)