Visualization of a two-dimensional tree modeling using fractal based on L-system

Abstract

The purpose of this paper is to present a visualization of two-dimensional trees using fractals and L-Systems. Grammar in L-System consisting of letters, axioms, and production rules can be used to construct trees in various forms according to the production rules used. With the formation of grammar from the tree pattern in a fractional manner, the grammar can be reused to construct other tree patterns at a higher level. The iterations made on certain production rules visually affect the tree model. Experiments were carried out on the L-System generator to see the results of tree visualization by testing various grammars. Testing was done by trial and error in production rules to get a realistic visualization of a two-dimensional tree model. From the experimental results produced a variety of grammar, where modifications to the production rules produced different tree models. Visually, from the iteration results, the higher the iteration value, the two-dimensional tree was not formed properly. When the iteration value or n > 5 the two-dimensional tree model results from an iteration it lost detail from the branch.