Understanding of tissue growth is in its nature multidisciplinary, since it varies from cancer diagnostics, image processing, fractal analysis to regular and non-regular heat flows. By medical sciences it was requested to better understood the tissue grow relation to mathematical modelling (stochastic geometry, fractal growth, diffusions). It is clear, that deterministic fractal is not an appro...

Fractal antenna, as name concerns, uses fractal i.e. structure does not change and repeat it when large focus has created upon it. This repetition feature of this antenna provides a great flexibility that it can be designed and can used in different frequencies. Fractal geometry has shown its potential in many fields of engineering and technology. In antenna engineering fractal geometry is very...

We introduced fractal geometry to the conventional bowtie antennas. We experimentally and numerically showed that the resonance of the bowtie antennas goes to longer wavelengths, after each fractalization step, which is considered a tool to miniaturize the main bowtie structure. We also showed that the fractal geometry provides multiple hot spots on the surface, and it can be used as an efficie...

J^ D rawing attention to the Kantian aesthetic that underpins Benoit Mandelbrot's [1] argument for 'an art for the sake of science' does not represent a sufficiently critical engagement of fractal geometry's entry into visual discourse (an entry made largely transparent by the suggestion that art acts as a handmaiden to science). Merely pointing to the extent of this aesthetic debt leaves the n...

In 1984 Bedford and McMullen independently introduced a family of self-affine sets now known as Bedford-McMullen carpets. Their work stimulated lot research in the areas fractal geometry non-conformal dynamics. this survey article we discuss some aspects carpets, focusing mostly on dimension theory.

Hat geometrisi muayene araçlarıyla yapılan ölçümlerden elde edilen grafiklere göre demiryolu hattı yatay ve düşey düzlemlerde düzgün olmayan dalgalı bir geometriye sahiptir. Bu geometrik yapı fraktal desen olarak göz önüne alındığında hat geometrisinin düzgünsüzlüğü boyutlar yardımı ile sayısal ifade edilebilir. çalışmada Ankara-Eskişehir Yüksek Hızlı Tren (YHT) hattının düzgünsüzlüğünü belirle...

Purpose – Fractal geometry can be used to model natural objects which cannot be easily represented by the euclidean geometry. However, contemporary computer-aided design (CAD) and computer-aided manufacturing (CAM) systems cannot be used to model a fractal object efficiently. In a general layer manufacturing (LM) workflow, a model described by the euclidean geometry is required in order to gene...