Yazar "Saltan, Mustafa" için listeleme
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A classification of points on the Sierpinski gasket
Deniz, A.; Saltan, Mustafa; Demir, Bünyamin (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
Saltan, Mustafa; Özdemir, Yunus; Demir, Bünyamin (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 ... -
Geodesics of the Sierpinski Gasket
Saltan, Mustafa; Özdemir, Yunus; Demir, Bünyamin (World Scientific Publ Co Pte LTD, 2018)In this paper, we examine the number of geodesics between two points of the Sierpinski Gasket (S) via code representations of the points and as a main result we show that the maximum number of geodesics between different ... -
The graph of fractal dimensions of Julia sets
Demir, B.; Özdemir, Y.; Saltan, Mustafa (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 ... -
Intrinsic Metrics on Sierpinski-Like Triangles and Their Geometric Properties
Saltan, Mustafa (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 ... -
An Iterated Function System for the Closure of the Adding Machine Group
Saltan, Mustafa; Demir, Bünyamin (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 ... -
On Self-Similar Subgroups in the Sense of IFS
Saltan, Mustafa (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 ... -
On Some Finite Hyperbolic Spaces
Olgun, Şükrü; Saltan, Mustafa (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
Demir, B.; Saltan, Mustafa (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
Saltan, Mustafa; Demir, Bünyamin (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 snowflake curve as an attractor of an iterated function system
Demir, B.; Özdemir, Y.; Saltan, Mustafa (2013)Although the snowflake curve, the boundary of the Koch snowflake, is one of the well-known fractals, there is no iterated function system (IFS) for it in the literature. In this study, we give an IFS for this familiar closed curve -
Some Interesting Code Sets of the Sierpinski Triangle Equipped with the Intrinsic Metric
Saltan, Mustafa (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 ... -
Yfs ve Ağaç Otomorfizmi Anlamında Kendine Benzer Gruplar Arasındaki Bazı İlişkiler
Saltan, Mustafa; Demir, Bünyamin (2016)Bir köklü ağaç otomorfizminin kendine benzerlik kavramı (Sidki, 1998; Nekrashevych, 2005) de verilmektedir. (Saltan ve Demir, 2013) de, yinelemeli fonksiyon sistemi (YFS) anlamında kendine benzer gruplar tanımlanmakta ve ... -
Yinelemeli fonksiyon sistemi anlamında kendine benzer gruplar
Saltan, Mustafa (Anadolu Üniversitesi, 2012)Klasik fraktallerin önemli özelliklerinden biri kendine benzerliktir. Köklü ağacın otomorfizm grubunun kendine benzerliği S. Sidki tarafından tanımlanmaktadır (Tanım 3.1.3). Bu anlamdaki grupların en iyi bilinen örnekleri ...
