This paper introduces the concept of anamorphism in art and describes the various forms it has taken throughout history. Examples of direct and catoptric anamorphisms are presented, and geometrical methods for anamorphic processes are briefly sketched. An example of a current work of anamorphic art is discussed, and more utilitarian applications briefly summarized. The concept of the stereographic projection between the complex plane and the Riemann sphere is introduced, and various properties of potential interest to artists described. The role that stereographic projection might play in the expression of the infinite is explored.