Hausdorff measure of Sierpinski sponge generated by normal tetrahedron

This paper studied computation of the Hausdorff measure for a class of inhomogeneous self-similar sets in R~3 satisfying the separate condition and Hausdorff dimension less than 1. By means of the upper convex density theorem, some conditions on the contractive ratios were given so that the Hausdorff measures can be exactly determined.