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Toplam kayıt 13, listelenen: 1-10
Some Interesting Code Sets of the Sierpinski Triangle Equipped with the Intrinsic Metric
(Centre Environment Social & Economic Research Publ-Ceser, 2018)
Many different characteristics of the Sierpinski triangle, which is one of the most popular examples of fractals, have been the subject of research for various studies in the recent years. To define the intrinsic metric ...
On Some Finite Hyperbolic Spaces
(Charles Babbage Res Ctr, 2012)
Let pi be a finite projective plane of order n. Consider the substructure pi(n+2) obtained from pi by removing n + 2 lines (including all points on them) no three are concurrent. In this paper, firstly, it is shown that ...
A self-similar group in the sense of iterated function system
(2012)
In this paper, first we give an iterated function system whose attractor is G m, a subgroup of the automorphism group of an (m + 1) -ary rooted tree. We also show that G m is a self-similar group in the sense of IFS. Then ...
Self-similar groups in the sense of an iterated function system and their properties
(Academic Press Inc Elsevier Science, 2013)
The notion of self-similarity in the sense of iterated function system (IFS) for compact topological groups is given by S. Kocak in Definition 3. In this work, first we give the definition of strong self-similar group in ...
The graph of fractal dimensions of Julia sets
(2011)
We obtain Julia sets of fe(Z) = z2 + c using modified inverse iteration method for all c in some grid of the square [-2, 2]×[-2, 2] and compute fractal dimensions of them. Then we give the whole picture by drawing the graph ...
On Self-Similar Subgroups in the Sense of IFS
(De Gruyter Open Ltd, 2018)
In this paper, we first give several properties with respect to subgroups of self-similar groups in the sense of iterate function system (IFS). We then prove that some subgroups of p-adic numbers p are strong self-similar ...
Intrinsic Metrics on Sierpinski-Like Triangles and Their Geometric Properties
(MDPI, 2018)
The classical Sierpinski Gasket defined on the equilateral triangle is a typical example of fractals. Sierpinski-like triangles can also be constructed on isosceles or scalene triangles. An explicit formula for the intrinsic ...
A classification of points on the Sierpinski gasket
(2008)
In this article we classified the points of the well-known fractal set Sicrpinski Gasket (SG) according to their addresses. We also gave a characterization of points of SG that describes the relation between their addresses ...
An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation
(Scientific Technical Research Council Turkey-Tubitak, 2018)
The computation of the distance between any two points of the Sierpinski gasket with respect to the intrinsic metric has already been investigated by several authors. However, to the best of our knowledge, in the literature ...
An Iterated Function System for the Closure of the Adding Machine Group
(World Scientific Publ Co Pte LTD, 2015)
In this paper, first we equip the automorphism group of the p-ary rooted tree X* with a natural metric and define a family of contractions on Aut(X*). Then, we construct an iterated function system (IFS) whose attractor ...