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

Print

Identifier

DP0022396

Language

English

Access Status

Open Access

Length of Campus-only Access

None

Document Type

Honors in the Major Thesis

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