A novel algorithm for constructing the Sierpiński triangle and the Koch snowflake using circumscribed circles
- سال انتشار: 1398
- محل انتشار: سومین کنفرانس بین المللی محاسبات نرم
- کد COI اختصاصی: CSCG03_274
- زبان مقاله: انگلیسی
- تعداد مشاهده: 609
نویسندگان
Biomedical Engineering Department of Sahand University of Technology, Sahand, Tabriz, Iran
Electrical Engineering Department of Sahand University of Technology, Sahand, Tabriz, Iran;
چکیده
This paper investigates a new approach to the generation of the Koch snowflake introduced by Niels Fabian Helge von Koch and the Sierpiński gasket, also known as the Sierpiński triangle formed by Wacław Sierpiński. This approach uses Iterated function systems (IFS) and for the formation of these fractals circumscribed circles are used as an alternative for the former procedure which was the only existing process and the method is used to form non-randomized fractals. GeoGebra was used to form the images in this paper due to its great accuracy and high efficiency. Also proposed method developed by C++ (CBF) to evaluate some metrics that leads to simple design process in handy and computerized models. The main goal is to develop a more accurate and easy procedure to generate these fractals to minimize errors which is crucial to the field of fractal geometry as a cause of growth in errors as the stage of the construction tends to infinity. Fractal geometry is one of the most beneficial areas in geometry as it can expand to all branches of modern sciences.کلیدواژه ها
Sierpiński triangle, Koch snowflake, fractals, circle based fractal design.مقالات مرتبط جدید
- مرور سیستماتیک کاربرد هوش مصنوعی در موسیقی
- In-silico Analyses for Finding Potential Key Genes and Pathways Associated with Guillain-Barré Syndrome Using Computational Tools
- OCD Severity Based on EEG Signals
- Investigating the (non) -Impact of Customizing Knowledge Bases of Artificial Intelligence -Driven Robot on Language for Specific Purposes Learning
- The Need for Telehealth and Tele-Educationon in Optimizing Measles Surveillance and Reducing Healthcare Costs
اطلاعات بیشتر در مورد COI
COI مخفف عبارت CIVILICA Object Identifier به معنی شناسه سیویلیکا برای اسناد است. COI کدی است که مطابق محل انتشار، به مقالات کنفرانسها و ژورنالهای داخل کشور به هنگام نمایه سازی بر روی پایگاه استنادی سیویلیکا اختصاص می یابد.
کد COI به مفهوم کد ملی اسناد نمایه شده در سیویلیکا است و کدی یکتا و ثابت است و به همین دلیل همواره قابلیت استناد و پیگیری دارد.