Yasser M. Abd El-Latif and Fatma S.Abousaleh and Daoud S. S.
A New Vision of Fractal Geometry with Triangulati on Algorithm
561 - 567
2008
2
8
International Journal of Physical and Mathematical Sciences
https://publications.waset.org/pdf/6878
https://publications.waset.org/vol/20
World Academy of Science, Engineering and Technology
Lsystem is a tool commonly used for modeling and simulating the growth of fractal plants. The aim of this paper is to join some problems of the computational geometry with the fractal geometry by using the Lsystem technique to generate fractal plant in 3D. Lsystem constructs the fractal structure by applying rewriting rules sequentially and this technique depends on recursion process with large number of iterations to get different shapes of 3D fractal plants. Instead, it was reiterated a specific number of iterations up to three iterations. The vertices generated from the last stage of the Lsystem rewriting process are used as input to the triangulation algorithm to construct the triangulation shape of these vertices. The resulting shapes can be used as covers for the architectural objects and in different computer graphics fields. The paper presents a gallery of triangulation forms which application in architecture creates an alternative for domes and other traditional types of roofs.
Open Science Index 20, 2008