In carpentry, there are various types of planes that serve different purposes. One common type is the bench plane, which comes in different sizes and is used for general woodworking tasks such as smoothing rough surfaces, fitting joints, and trimming doors or windows. Another type is the block plane, which has a compact size and is designed for working on end grain or small-scale projects like chamfering edges or shaping small parts. A shoulder plane is specifically crafted for fine-tuning joints and leveling shoulders, while a rebate or rabbet plane is suitable for creating recesses or grooves along the edge of a piece of wood. Lastly, there are specialty planes like the plow plane used for cutting grooves parallel to an edge and the router plane used for flattening surfaces or removing material to a specific depth.