A methodology of Leaping Iteration for drawing is introduced, followed by illustrations of using ovals to design elements of landscape painting, including views of mountain, cloud, tree, etc. The concept of “Leaping Iteration” is a variation of Leaping Iterated Function Systems (LIFS) that originated from “self-similarity” and “self-replication”. This methodology provides an interface between mathematics and aesthetic. Moreover, it’s consumption of computer resource is under control during the process of doing iteration.