On the Koch snowflake curves
Date of Publication
1996
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
This thesis is about fractals, specifically the Koch Snowflake Curve. A fractal is a shape made of parts similar to the whole in some way. In other words, fractals are geometric figures in which a pattern repeats itself indefinitely. Fractals can be used to describe the fragmentary aspects of nature. It can stimulate landscapes and objects in nature such as trees and mountains. There are different types of fractals. Some examples are Cesaro Curves, Peano Curves, Julia Sets, Mandelbrot Sets and Koch Curve. This paper also discusses the construction of the Snowflake Curves in detail and shows the parameters of the Snowflake Curve on the first three construction stages for the regular polygons having 3, 4 and 5 sides, in tabular form. In addition, formulas for the perimeter and area of the Snowflake Curve and their limits are also discussed. The paper also includes the definition of fractal dimension, the generation of the Koch Snowflake Curve and the Quadric Koch Curve.
Abstract Format
html
Language
English
Format
Accession Number
TU07456
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
58 leaves
Keywords
Curves; Fractals; Dimension theory (Topology); Quadrics
Recommended Citation
Lao, G. T., & Tan, J. (1996). On the Koch snowflake curves. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16308
