BOX-COUNTING DIMENSION RELATED TO THE BOUNDARY OF HEXAGONAL ARRAYS FOR AN EFFICIENT DIGITAL EARTH MODEL
Xiqiang Zheng · Fractals · 2010
An interesting sequence of arrays on hierarchical hexagonal grids was employed by PYXIS Innovation Inc. for an efficient digital earth model. These arrays constitute a Cauchy sequence in terms of Hausdorff distance. In this paper, we show that the box-counting dimension for the boundary of the limit of this sequence is [Formula: see text].