MEAN GEODESIC DISTANCE OF n-LEVEL SIERPINSKI CARPET

We investigate the n-level Sierpinski carpets including the classical one for n = 3, which are non-p.c.f. self-similar fractals. By using the finitely, many geometric patterns and the self-similar measure, we obtain the mean geodesic distance on the n-level Sierpinski carpets and their skeleton networks.

Automated summary

This study focuses on n-level Sierpinski carpets, including the classic one for n = 3, which are non-p.c.f. self-similar fractals. Through the use of finitely many geometric patterns and self-similar measure, the mean geodesic distance on the n-level Sierpinski carpets and their skeleton networks is obtained.