• DocumentCode
    1859208
  • 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
  • Volume
    3
  • fYear
    2011
  • fDate
    13-15 May 2011
  • Firstpage
    490
  • Lastpage
    493
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Business Management and Electronic Information (BMEI), 2011 International Conference on
  • Conference_Location
    Guangzhou
  • Print_ISBN
    978-1-61284-108-3
  • Type

    conf

  • DOI
    10.1109/ICBMEI.2011.5920501
  • Filename
    5920501