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BOX-COUNTING DIMENSION RELATED TO THE BOUNDARY OF HEXAGONAL ARRAYS FOR AN EFFICIENT DIGITAL EARTH MODEL

XIQIANG ZHENG

Division of Arts and Sciences, Voorhees College, Denmark, SC 29042, USA

https://doi.org/10.1142/S0218348X10004865Cited by:1 (Source: Crossref)

Abstract

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 .

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