Project jointly supported by the National 973 Fundamental Research Project of China (Granted No. 85-2);the Natrural Science Foundation of Zhejiang Province (Granted No. 197047)
For a binary decimal x with n bits, the pre-fracial of the level n + 1 of Sierpinski gasket S can be partially covered by a curved nonagon with the diameter 1 - x/2. The number of the small iriangles which are not com...
Project supported by the Foundation for the Advanced Research Centre of Zhongshan University;the Foundation of Guangdong Province.
There exist two conjectures on the Hausdorff measures of Koch curve and Sierpinski gasket. The present work supports one of them and negates the other.