@Article{ATA-28-1, author = {}, 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 = {

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$.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2012.v28.n1.4}, url = {https://global-sci.com/article/74052/the-hausdorff-measure-of-sierpinski-carpets-basing-on-regular-pentagon} }