@article { author = {Ebadizadeh, Hojjat Allah and Nazari Farikhi, Ebrahim}, title = {Simulation of the game of chaos and fractals}, journal = {Annals of Optimization Theory and Practice}, volume = {2}, number = {2}, pages = {25-33}, year = {2019}, publisher = {Firouzabad Institute of Higher Education}, issn = {2588-3666}, eissn = {2588-5995}, doi = {10.22121/aotp.2020.212629.1024}, abstract = {In this paper, the role of the iteration function system in the geometric modeling of two-dimensional and three-dimensional fractal objects is presented. We also study chaos game display technology, which is a very important and efficient tool in the biochemistry and military fields. This method provides a good template for amplified and generated sequences such as the DNA sequence. See Reference 5. The game of chaos provides many interesting patterns and is therefore a very important tool for examining the organization of units. In this paper, we investigate the game of chaos and chaotic systems, and by giving an example, we have obtained the speed of creating a system disorder by Liapanov's view.}, keywords = {fractal,absorbent,Chaos games,Random algorithm,Lyapunov view}, url = {https://aotp.fabad-ihe.ac.ir/article_105909.html}, eprint = {https://aotp.fabad-ihe.ac.ir/article_105909_03b49679fa85de1de3a5ac39e84a6d7e.pdf} }