Affiliation:
1. Department of Mathematics, Ningbo University, Zhejiang 315211, P. R. China
Abstract
It is of great interest to analyze geodesics in fractals. We investigate the structure of geodesics in [Formula: see text]-dimensional Sierpinski gasket [Formula: see text] for [Formula: see text], and prove that there are at most eight geodesics between any pair of points in [Formula: see text]. Moreover, we obtain that there exists a unique geodesic for almost every pair of points in [Formula: see text].
Funder
National Natural Science Foundation of China
K.C. Wong Magna Fund in Ningbo University
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Geometry and Topology,Modelling and Simulation
Cited by
12 articles.
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