AVERAGE DISTANCES OF LINDSTRoM SNOWFLAKE NETWORKS

In this paper, for renormalized Lindstrom Snowflake networks, we discuss the geodesic metric of their limit space which is quite different from the Euclidean metric on the Lindstrom Snowflake. Using the dihedral group, we simplify the geodesic patterns and obtain 10,850 patterns and thus calculate the limit of average distances on renormalized Lindstrom Snowflake networks.

Automated summary

This study focuses on the geodesic metric of the limit space and the average distance limit of renormalized Lindstrom Snowflake networks, highlighting the differences from the Euclidean metric. By simplifying geodesic patterns using the dihedral group, a total of 10,850 patterns were obtained for calculation purposes.