Dimensions Of A Class Of Self-afifne Sets

Fractal geometry is one of new subjects, which allows people to betterunderstand the world: the world is non-linear and fractal is everywhere.Dimensions of self-affine sets are one of the issues in fractal geometry study.Since the affine structure is complicated, so far, no satisfactory results on Hausdorffdimensions of self-affine sets have been obtained. The Hausdorff dimension ofMcMullen set is the first tangible result. In this paper we obtain the Hausdorffdimensions of a class of self-affine sets.