Fill a medium saucepan two-thirds full with water and bring to a boil. Carefully add eggs with slotted spoon.
The cold eggs will have reduced the water temperature. Once water is starting to boil again, set a timer for 6 and a half minutes.*
Fill a large bowl with ice water and place beside stove.
When eggs are done, immediately scoop them out with a slotted spoon and carefully place them in the ice water. Let them cool for at least 3 minutes.
Gently tap bottom of eggs against your sink or counter to break them, and peel under cold running water.
Cut eggs in half lengthwise, wiping knife with a paper towel between eggs.
Place on platter and add toppings to your heart’s desire.
For dipping sauce, whisk remaining ingredients together along with salt and pepper to taste.