The pyramid is basically of 3 types:
Regular Pyramid: The base of the pyramid is a regular polygon and hence its lateral faces are equally sized.
Irregular Pyramid: The base of the pyramid is an irregular polygon and hence its lateral faces are not equally sized.
Right Pyramid: If the vertex or apex is directly above the center of the base, it is a right pyramid, otherwise an oblique pyramid.
Pyramids can also be classified according to the shape of their bases :