Title :
The hausdorff measure of the general sierpinski block generated by regular tetrahedron and its comupter achievement
Author :
Shanhui Sun ; Liu, Jing
Author_Institution :
Coll. of Math. & Stat., Suzhou Univ., Suzhou, China
Abstract :
In this paper, we firstly offer the definition and the construct of the general Sierpinski block, which is generated by the regular tetrahedron. Then, by a new iterative sequence, we get a much better upper estimate formular for calculating the Hausdorff measure of the general Sierpinski block. At last, we also obtain some better upper estimations of the Hausdorff measure of the general Sierpinski block by a new computer algorithm.
Keywords :
computational geometry; iterative methods; Hausdorff measure; computer achievement; general Sierpinski block; iterative sequence; regular tetrahedron; Computers; Estimation; Fractals; Gaskets; Sun; Hausdorff dimension; Hausdorff measure; Sierpinski block; algorithm;
Conference_Titel :
Business Management and Electronic Information (BMEI), 2011 International Conference on
Conference_Location :
Guangzhou
Print_ISBN :
978-1-61284-108-3
DOI :
10.1109/ICBMEI.2011.5920501