@Article{ATA-28-27,
author = {Chaoyi Zeng, Dehui Yuan and Shaoyuan Xu},
title = {The Hausdorff Measure of Sierpinski Carpets Basing on Regular Pentagon},
journal = {Analysis in Theory and Applications},
year = {2012},
volume = {28},
number = {1},
pages = {27--37},
abstract = {<p style="text-align: justify;">In this paper, we address the problem of exact computation of the Hausdorff measure of a class of Sierpinski carpets E − the self-similar sets generating in a unit regular pentagon on the plane. Under some conditions, we show the natural covering is the best one, and the Hausdorff measures of those sets are equal to $|E|^s$, where $ s = dim_{H}E$.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2012.v28.n1.4},
url = {http://global-sci.org/intro/article_detail/ata/4538.html}
}