If you have ever watched Jacques Pepin or Julia Child make an omelette, you'll notice this omelet looks nothing like theirs. Theirs are lemon yellow, not brown on the outside. They are not puffy and not filled with other ingredients, generally. Their omelettes are the classic French style omelette. My recipe is definitely an American style omelette. To cook a French style omelette, you use high heat and constantly stir the eggs and continually move the pan. For this omelet, the eggs are whipped to a frenzy before you pour them in a pan, set on medium heat.