Fractal dimension
Date of Publication
1995
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
The role of Fractal Geometry as an extension of Classical Geometry has become increasingly important, making it now possible to define shapes of clouds, coastlines and profiles in the horizon. This thesis discusses how two-dimensional fractals are obtained through the use of similarities. Affine transformations and isometries are also discussed. The concept of Fractal Dimension is introduced. This thesis shows how fractal dimension can be approximated or computed using the Box Counting Theorem. Finally, an upper bound for the fractal dimension of fractals in the plane is given.
Abstract Format
html
Language
English
Format
Accession Number
TU07054
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
41 leaves
Keywords
Fractals; Dimension theory (Topology); Set theory
Recommended Citation
Jimenez, C., & Maldia, R. (1995). Fractal dimension. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16254
