Fractal Geometry - MacTutor History of Mathematics.
This Master's thesis deals with history of Fractal geometry and describes the fractal science development. In the begining there are essential Fractal science terms explained. Then description of fractal types and typical or most known examples of them are mentioned. Fractal knowledge application besides computer graphics area is discussed.
The aim of this thesis is to develop the dimension theory of self-a ne carpets in several directions. Self-a ne carpets are an important class of planar self-a ne sets which have received a great deal of attention in the literature on fractal geometry over the last 30 years. These constructions are impor-tant for several reasons. In particular, they provide a bridge between the relatively well.
The thesis explains important terminology, such as the coastline paradox or the fractal dimension. A great emphasis is placed on explaining the concept of the box-counting dimension. The thesis includes the construction methods of the L-systems, IFS, TEA and random fractals. In addition, it shows the use of fractal geometry in practice.
Thesis. Full-text available. Fractal Dimension in Architecture: An Exploration of Spatial Dimension. August 2017. Kris Gurung; Mandelbrot (1975) coined the term, Fractal to define natural forms.
The thesis is organized starting from some formal fractal theory in Chapter 2. A brief fractal audio model is provided based on the conventional fractal image model. The encoding and decoding algorithms are explained through examples. A review of fractal coding researches is presented in Chapter 3. We mainly address fractal coding.
Abstract Chaos theory, with its recently-discovered mathematical tool of fractal geometry, is a new way Of thinking and of analysing data.
This thesis describes the influence of an asymmetric structure on the vibration response of satellites, specifically of CubeSat. Two (numerical) versions of asymmetric structure were created based on fractal geometry, as well as a symmetric structure.