THE HAUSDORFF MEASURE OF SIERPINSKI CARPETS BASING ON REGULAR PENTAGON

(整期优先)网络出版时间:2012-01-11
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Inthispaper,weaddresstheproblemofexactcomputationoftheHausdorffmeasureofaclassofSierpinskicarpetsEtheself-similarsetsgeneratinginaunitregularpentagonontheplane.Undersomeconditions,weshowthenaturalcoveringisthebestone,andtheHausdorffmeasuresofthosesetsareeuqalto|E|s,wheres=dimHE.