Self-similarity and non-integer dimension of koch snowflake Reuben S. Gallar... [et. al]

Thesis (Bachelor of Science in Mathematics) -- University of Rizal System-Morong.

EXECUTIVE SUMMARY: The Koch Snowflake (also known as the Koch curve, Koch star or Koch island) is a mathematical curve and one of the earliest fractal curves to have been described and discovered by a Swedish mathematician named Helge von Koch in 1904. Its building starts with an equilateral triangle, removing the inner third of each side, building another equilateral triangle with no base at the location where the side was removed, and then repeating the process indefinitely. Koch Snowflakes is a fractal geometric figure having self-similarity and non-integer dimension properties. The study entitled Self-Similarity and Non-Integer Dimension of Koch Snowflake and its Graphical Application was conducted at the University of Rizal System located at Sumulong Street, Morong, Rizal. The researchers used the qualitative method because it is primarily explanatory research. It is used to gain an understanding of underlying reasons, opinions, and motivations. During the conduct of this study, the researchers were able to gathered data for analysis rationale. Based from the analysis, the researchers concluded that the Koch Snowflake satisfies the properties of fractal geometric figure; the self-similarity and non-integer dimension. Also, the original Koch Snowflake can be modified using other regular polygon like square as the base and constructed its graphical presentation using Adobe Flash Professional CS5.5. The researchers recommended with the virtue of the preceding summary of findings and conclusions, the following recommendations are hereby stated: Make a different modification of the Koch Snowflake using other regular polygons like rectangle and pentagon. Further studies may be conducted for the enhancement of the findings.