Final answer:
Pin curl is the type of curl that allows for the greatest mobility and is placed completely off the base.
Step-by-step explanation:
In cosmetology, the type of curl that allows for the greatest mobility and is placed completely off the base is the pin curl. Pin curls are created by winding a small section of hair around the finger and then securing it with a pin. They can be placed closer to the scalp or farther away, depending on the desired result.
Pin curls are versatile and can create various styles and textures. They can be used to create a soft, bouncy look or a tight, defined curl. Additionally, pin curls can be combined to create different patterns, such as a row of pin curls or a pin curl set.