Add to ORKGWe generalize the construction of the ordinary Sierpinski triangle to obtain a two-parameter family of fractals we call Sierpinski pedal triangles. These fractals are obtained from a given triangle by recursively deleting the associated pedal triangles in a manner analogous to the construction of the ordinary Sierpinski triangle, but their fractal dimensions depend on the choice of the initial triangles. In this paper, we discuss the fractal dimensions of the Sierpinski pedal triangles and the related area ratio problem, and provide some computer-generated graphs of the fractals
Self-similar fractal structures are of fundamental importance in science, mathematics, and aesthetic...
We disprove the conjecture of the paper by Zhang et al.(1) on the Schur-convexity of the dimension f...
The Sierpiński fractal or Sierpiński gasket ∈ is a familiar object studied by specialists in dynamic...
We generalize the construction of the ordinary Sierpinski triangle to obtain a two-parameter family ...
We provide a solution to the conjecture of Ref. 1 on the global minimal fractal dimension of Sierpin...
The Sierpinski triangle also known as Sierpinski gasket is one of the most interesting and the simpl...
Abstract. In this paper, we consider a large variety of solutions for the generation of Sierpinski t...
The classical Sierpinski Gasket defined on the equilateral triangle is a typical example of fractals...
Big open problems in science and mathematics have a way of surprisingly showing up in simple puzzles...
This paper is about the beauty of fractals and the surprising con-nections between them. We will exp...
Fractal sets are sets that show self-similarity meaning that if one zooms in on some part of the fra...
An explicit formula for the spectral dimension of the Sierpinski type fractal family studied by Borj...
A fractal is a mathematical set that typically displays self-similar patterns, which means it is "th...
Our goal is to study Pascal-Sierpinski gaskets, which are certain fractal sets dened in terms of div...
This article is a continuation of a previous work which dealt with the inversion of a Sierpinski tri...
Self-similar fractal structures are of fundamental importance in science, mathematics, and aesthetic...
We disprove the conjecture of the paper by Zhang et al.(1) on the Schur-convexity of the dimension f...
The Sierpiński fractal or Sierpiński gasket ∈ is a familiar object studied by specialists in dynamic...
We generalize the construction of the ordinary Sierpinski triangle to obtain a two-parameter family ...
We provide a solution to the conjecture of Ref. 1 on the global minimal fractal dimension of Sierpin...
The Sierpinski triangle also known as Sierpinski gasket is one of the most interesting and the simpl...
Abstract. In this paper, we consider a large variety of solutions for the generation of Sierpinski t...
The classical Sierpinski Gasket defined on the equilateral triangle is a typical example of fractals...
Big open problems in science and mathematics have a way of surprisingly showing up in simple puzzles...
This paper is about the beauty of fractals and the surprising con-nections between them. We will exp...
Fractal sets are sets that show self-similarity meaning that if one zooms in on some part of the fra...
An explicit formula for the spectral dimension of the Sierpinski type fractal family studied by Borj...
A fractal is a mathematical set that typically displays self-similar patterns, which means it is "th...
Our goal is to study Pascal-Sierpinski gaskets, which are certain fractal sets dened in terms of div...
This article is a continuation of a previous work which dealt with the inversion of a Sierpinski tri...
Self-similar fractal structures are of fundamental importance in science, mathematics, and aesthetic...
We disprove the conjecture of the paper by Zhang et al.(1) on the Schur-convexity of the dimension f...
The Sierpiński fractal or Sierpiński gasket ∈ is a familiar object studied by specialists in dynamic...