A geometric property of the Sierpinski carpet

Ligia Loreta Cristea

doi:10.2989/16073600509486126

A geometric property of the Sierpinski carpet

Ligia Loreta Cristea

Institute of Financial Mathematics and Applied Number Theory

Research output: Contribution to journal › Article › peer-review

Abstract

The main aim of this paper is to find formulae for the computation of the geodesic metric on the Sierpinski carpet. This is accomplished by introducing carpet coordinates. Subsequently we show the equivalence of the Euclidean and the geodesic metric on this fractal.

Original language	English
Pages (from-to)	251-262
Number of pages	12
Journal	Quaestiones Mathematicae
Volume	28
Issue number	5
DOIs	https://doi.org/10.2989/16073600509486126
Publication status	Published - 2005

Fields of science

101 Mathematics
101007 Financial mathematics
101019 Stochastics
101025 Number theory

Access to Document

10.2989/16073600509486126

Cite this

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