Final answer:
The type of curl that allows for the greatest mobility is the off-base curl.
Step-by-step explanation:
The type of curl that is placed completely off base and allows for the greatest mobility is the **off-base curl**. This type of curl is created by wrapping the hair around the curling iron or hot roller without any tension or sectioning, resulting in a looser and more natural-looking curl. The off-base curl allows for greater movement and flexibility because it is not anchored tightly to the scalp or base of the hair.