The document discusses different types of lenses based on their curvature and shape. There are two main types: flat lenses, which have one flat surface, and curved lenses, which have curves on both surfaces. Curved lenses include meniscus lenses, which are convex on the front and concave on the back, and toric lenses, where one surface is spherical and the other toroidal. The total power of a lens is calculated by adding the powers of the front and back surfaces. Lens shape refers to the outline and can include round, oval, pantascopic round oval, and upswept shapes.