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Intrinsic Metric Formulas on Some Self-Similar Sets via the Code Representation

1
Department of Mathematics, Bilecik Şeyh Edebali University, Bilecik 11230, Turkey
2
Department of Mathematics, Eskişehir Technical University, Eskişehir 26470, Turkey
*
Author to whom correspondence should be addressed.
Fractal Fract 2019, 3(1), 13; https://doi.org/10.3390/fractalfract3010013
Received: 4 February 2019 / Revised: 18 March 2019 / Accepted: 22 March 2019 / Published: 25 March 2019
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Abstract

In recent years, intrinsic metrics have been described on various fractals with different formulas. The Sierpinski gasket is given as one of the fundamental models which defined the intrinsic metrics on them via the code representations of the points. In this paper, we obtain the explicit formulas of the intrinsic metrics on some self-similar sets (but not strictly self-similar), which are composed of different combinations of equilateral and right Sierpinski gaskets, respectively, by using the code representations of their points. We then express geometrical properties of these structures on their code sets and also give some illustrative examples. View Full-Text
Keywords: Sierpinski gasket; self-similar sets; code representation; intrinsic metric Sierpinski gasket; self-similar sets; code representation; intrinsic metric
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Güneri, M.; Saltan, M. Intrinsic Metric Formulas on Some Self-Similar Sets via the Code Representation. Fractal Fract 2019, 3, 13.

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