Abstract. In this paper, we consider a large variety of solutions for the generation of Sierpinski triangles, one of the case studies for the AGTIVE graph transformation tool contest [15]. A Sierpinski triangle shows a well-known fractal structure. This case study is mostly a performance benchmark, involving the construction of all triangles up to a certain number of iterations. Both time and space performance are involved. The transformation rules themselves are quite simple.
Big open problems in science and mathematics have a way of surprisingly showing up in simple puzzles...
The core concept of fractals is the process of rearranging identical components that have a large am...
Many fractal generation methods have been developed and used to create an image of a natural scene. ...
Abstract. In this paper, we consider a large variety of solutions for the generation of Sierpinski t...
The Sierpinski triangle also known as Sierpinski gasket is one of the most interesting and the simpl...
We generalize the construction of the ordinary Sierpinski triangle to obtain a two-parameter family ...
In an article published in the November 2016 issue of At Right Angles we had seen how geometrical fr...
This paper is about the beauty of fractals and the surprising con-nections between them. We will exp...
Abstract — The chaos game, in which a moving point is repeatedly averaged toward randomly selected v...
In this paper, the authors explore using fractals in the classroom to teach more complex ideas. In G...
Self-similar fractal structures are of fundamental importance in science, mathematics, and aesthetic...
The famous fractal set called the Sierpiński triangle was introduced as a plane curve every point o...
The SierpiÅ ski product of graphs was introduced as a generalization of SierpiÅ ski graphs, which is...
This article is a continuation of a previous work which dealt with the inversion of a Sierpinski tri...
A fractal is a mathematical set that typically displays self-similar patterns, which means it is "th...
Big open problems in science and mathematics have a way of surprisingly showing up in simple puzzles...
The core concept of fractals is the process of rearranging identical components that have a large am...
Many fractal generation methods have been developed and used to create an image of a natural scene. ...
Abstract. In this paper, we consider a large variety of solutions for the generation of Sierpinski t...
The Sierpinski triangle also known as Sierpinski gasket is one of the most interesting and the simpl...
We generalize the construction of the ordinary Sierpinski triangle to obtain a two-parameter family ...
In an article published in the November 2016 issue of At Right Angles we had seen how geometrical fr...
This paper is about the beauty of fractals and the surprising con-nections between them. We will exp...
Abstract — The chaos game, in which a moving point is repeatedly averaged toward randomly selected v...
In this paper, the authors explore using fractals in the classroom to teach more complex ideas. In G...
Self-similar fractal structures are of fundamental importance in science, mathematics, and aesthetic...
The famous fractal set called the Sierpiński triangle was introduced as a plane curve every point o...
The SierpiÅ ski product of graphs was introduced as a generalization of SierpiÅ ski graphs, which is...
This article is a continuation of a previous work which dealt with the inversion of a Sierpinski tri...
A fractal is a mathematical set that typically displays self-similar patterns, which means it is "th...
Big open problems in science and mathematics have a way of surprisingly showing up in simple puzzles...
The core concept of fractals is the process of rearranging identical components that have a large am...
Many fractal generation methods have been developed and used to create an image of a natural scene. ...