Examination of traditional and v-variable fractals
Abstract
In this paper, we begin in Chapter 1 by giving a brief overview of the history of fractal geometry, focusing on six of the most important mathematicians in this field. Chapter 2 explains the main definitions needed for the remainder of the paper. In Chapter 3, we clarify the process of creating fractals from iterated function systems. Chapter 4 consists of an examination of the properties of traditional fractals. Next, in Chapter 5, we examine the newly discovered V-variable fractals and their properties. Finally we consider applications and future research in the field of fractal geometry.
Notes
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Thesis Completion
2009
Semester
Spring
Advisor
Mohapatra, Ram N.
Degree
Bachelor of Science (B.S.)
College
College of Sciences
Degree Program
Mathematics
Subjects
Dissertations, Academic -- Sciences;Sciences -- Dissertations, Academic
Format
Identifier
DP0022396
Language
English
Access Status
Open Access
Length of Campus-only Access
None
Document Type
Honors in the Major Thesis
Recommended Citation
Ross, Emily L., "Examination of traditional and v-variable fractals" (2009). HIM 1990-2015. 855.
https://stars.library.ucf.edu/honorstheses1990-2015/855