A study on self-similar surfaces

Abstract

In this paper, we study the self-similar surfaces in 4-dimensional Euclidean space E 4. We give an if and only if condition for a generalized rotational surfaces in E 4 to be self-similar. In addition we examine self-similarity of some special surfaces in E 4. Furthermore we investigate the self-similar condition of Tensor Product surfaces and Meridian surfaces in E 4 .