General purpose Problem Solving Environments (PSEs) like Matlab are widely used in the fields of science for development of new algorithms. If a lot of computing power is required to run these algorithms, todays PSEs lack support for accessing the distributed infrastructures of the organisation (i.e. grids), which limits the size of the problems that can be solved. This contribution shows a new...

Antipolynomial of a complex polynomial is generated by applying iteration on a function z +c for d>=2. This complex function has been intense area for researcher. If we use transcendental function like sine, cosine etc with antipolynomial, i.e. cos ( z +c), it becomes a more elite area to design beautiful images of fractal. The purpose of this paper is to generate the fractals using function co...

From the works of mathematical properties of songs, we construct the phylomemetic trees of Indonesian ethnic and traditional songs. The memeplexes are then reflected by the used notes and respective durations as they exhibit the Zipf-Mandelbrot law, the gyration coefficient, “spiraling effects”, and the dynamic entropy shown in the structure of the songs. The cladistic techniques yielding phylo...

Ever since Benoit Mandelbrot published his book on fractals [1], we’ve become accustomed to seeing fantastic and beautiful fractal images such as the ones at the bottom of the pages of this article. A fractal is a mathematical object that exhibits self similarity — it looks the same at any scale. If you zoom in on an image of a fractal, you see the same structure no matter how far you go, at le...

We investigate with the help of Clifford algebraic methods the Mandelbrot set over arbitrary two–component number systems. The complex numbers are regarded as operator spinors in D×spin(2) resp. spin(2). The thereby induced (pseudo) normforms and traces are not the usual ones. A multi quadratic set is obtained in the hyperbolic case contrary to [1]. In the hyperbolic case a breakdown of this si...