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https://scholarhub.balamand.edu.lb/handle/uob/3842| Title: | The Chaos Game and the sierpinski gasket : the road from randomness to uniformity | Authors: | Said, Judy | Advisors: | Abdulaziz, Abdulrahman Ali | Subjects: | Mathematics | Issue Date: | 2019 | Abstract: | In order to illustrate the importance and significance of the known Chaos Game, a research was done to explain what a Chaos Game is. We generalized the Chaos Game, and thus we were able to find a formula for the kissing ratio. Also, we studied randomness in this game, and when moving uniformly toward the vertices, we obtained an {cedil}{9D}{91}{9B} points orbit. We discovered a formula for the side of this {cedil}{9D}{91}{9B} points orbit. A formula for the average jump between two iterates of the Chaos Game was also discovered. We found a relationship between gaskets resulting from the game and an equation which gave an infinite series of similar gaskets was obtained. |
Description: | Includes bibliographical references (p. 35-37). Supervised by Dr. AbdulRahman Abdulaziz. |
URI: | https://scholarhub.balamand.edu.lb/handle/uob/3842 | Rights: | This object is protected by copyright, and is made available here for research and educational purposes. Permission to reuse, publish, or reproduce the object beyond the personal and educational use exceptions must be obtained from the copyright holder | Ezproxy URL: | Link to full text | Type: | Project |
| Appears in Collections: | UOB Theses and Projects |
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