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A GEOMETRIC PROPERTY OF THE SIERPIŃSKI CARPET


Ligia L Cristea

Abstract

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

Mathematics Subject Classification (2000): 28A80, 54E35.

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606