The optimal setting to use for boiling eggs in a health pot is the "high" setting. This allows for rapid and even heating, which is crucial for achieving a perfect hard-boiled egg. The high setting ensures that the water reaches a rolling boil quickly, which is necessary for the egg whites to set and the yolks to firm up properly.

Using the high setting is supported by data from the USDA (United States Department of Agriculture), which recommends boiling eggs at a rolling boil for at least 3 minutes to ensure they are fully cooked. A rolling boil is achieved when the water is actively bubbling and moving around the pot. This high-temperature environment is essential for the denaturation of proteins in the egg whites and yolks, leading to a firm texture. Additionally, the high heat helps to kill any potential bacteria on the shell, making the eggs safer to consume.

The health pot, often equipped with a non-stick surface and multiple settings, provides the versatility needed to achieve the desired cooking outcome. The high setting ensures that the eggs are cooked thoroughly without overcooking, which can result in rubbery whites and greasy yolks. By maintaining a consistent high temperature, the health pot prevents the eggs from absorbing excess water, which can lead to a gummy texture.

In summary, the high setting in a health pot is the best choice for boiling eggs due to its ability to achieve a rolling boil quickly, ensuring even cooking and safety. The USDA's guidelines further reinforce the importance of high heat for proper egg cooking.