[R] How can I know the Hausdorff dimensions of fractals in the 'fractalcurve' function of package 'pracma'?

shi_peijian @hi_peiji@n @ending from 163@com
Sat Sep 8 14:33:54 CEST 2018


Dear Dr. Hans W. Borchers,




I'm using your 'pracma' package. It is very useful. May I have a small question for the 'fractalcurve' function? How can I know the Hausdorff dimension for every option below?


c("hilbert", "sierpinski", "snowflake", "dragon", "triangle", "arrowhead", "flowsnake", "molecule")


For the "dragon" option, its Hausdorff dimension is log(4)/log(2) = 2. For the others, what are the Hausdorff dimensions?


I have found the list of some fractals by Hausforff dimensions. I don't know which in the above option corresponds to which in Wikepedia.


Thanks a lot!


Best wishes,


Peijian Shi







--


Peijian (Joe)  Shi, Ph.D.

Research interests: forest ecology; theoretical ecology; thermal biology

Bamboo Research Institute, Nanjing Forestry University, P.R. China

159 Longpan Road, Nanjing City, Jiangsu Province 210037

Office:  60817  Biotechnology Building
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