I am working on a Fractal analysis of some shale sample SEM images using FracLac. However, it doesn't include the Succolarity calculation. I hope someone can help me with this issue. I appreciate that.
Dear Bo Li ,
I supose you refer to Mandelbrot's concept of "succolarity". I have read and pondered about it, but I think that it is not suitable for a mathematical definition. There are alternative concepts in more modern treatments of fractal geometry.
Dear Bo Li ,
The general problem is the problem of topological properties of fractals, in particular, connection properties. The study of concepts related to percolation is just a way to explore such properties. I have not studied this subject for a while. I have just reviewed old papers and I have found two relevant reeferences:
Robins et al, "Computing connectedness: disconnectedness and discreteness", Physica D 139 (2000) 276–300.
Luo and Liu, "On the classification of fractal squares", arXiv:1404.6619
The last two authors are your compatriots and I think that they belong to a school of mathematicians that are doing very good work in this regard.
I hope it is useful. Best wishes.
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