HOMOTHETIC MOTIONS WITH GENERALIZED TRICOMPLEX NUMBERS

Abstract

In this paper, we define the generalized tricomplex numbers and give some algebraic properties of them. By using the matrix representation of generalized tricomplex numbers, we determine a motion on the hypersurface M in eight dimensional generalized linear space R 8 alpha beta gamma and show that this is a homothetic motion. Also, for some special cases of the real numbers alpha, Q and 7 , we give some examples of homothetic motions in R 8 and R 8 4 and obtain some rotational matrices in these spaces, too.