THE RELATION BETWEEN BINARY TREE AND THE SIERPINSKI TRIANGLE WHICH IS EQUIPPED WITH THE INTRINSIC METRIC

The Sierpinski triangle, which is fundemantel examples of fractals, has become a field of study for various investigations with many interesting features. Intrinsic metrics, one of the important research topics of recent years, can generate interesting formulas on fractals. Thanks to the formula defined on the code set of the Sierpinski triangle, many interesting geometric features can be proven. In this paper, the relationship between rooted binary tree and Sierpinski triangle is addressed. Also, we compare a result obtained by using the Euclidean metric and the intrinsic metric on the Sierpinski triangle