Philippine E-Journals

Fractals, Their Analysis, and Practical Applications in Modern College Geometry

CECILIA O. ARES | Jonathan O. Etcuban | Maria Salud M. De Los Santos | Quennie C. Ypanto | Liza L. Chua

 

Abstract:

Fractals are everywhere. Those bright, weird and beautiful shapes represent mathematical equations that have importance in the teaching of Geometry. The study aimed to analyze fractals and their applications as the basis for integration of a course in Modern College Geometry. Descriptive method of research using content analysis was employed in the study. The study formally presents a narrative on the historical background of fractals, its shapes, dimensions, and self-similarity. The study revealed that: fractal is not a new Mathematics of natural form; simple fractals can easily create by repeating a series of steps that create a pattern. Despite their irregular shapes, fractals can be dimensions owing to their self-similarities; there are computer-generated fractals, and these breathtaking graphs are available for use in the teaching of Modern College Geometry. The study concluded that the analysis has led to a realization that mathematics is not only limited to beautiful and harmonious shapes and forms in nature, but it can also be used to analyze even the seemingly irregular and chaotic forms in nature. The researchers recommend that a further study can be done to explore the beauty of computer-generated fractals.