Masters Theses

Abstract

"Work in the area of fractal geometry has generally focused on a specific facet of the discipline at the expense of other interesting features. This approach often generates more questions than answers for the general audience due to the lack of unification across all views. It appears that a common thread to relate all aspects of fractal characteristics is missing. This paper addresses this question and presents some new and fascinating results. For example, in-depth mathematical analysis often defers to the intriguing and attractive graphical displays produced by mapping the complex plane to the pixel field on a CRT. Both area, mathematics and graphics, are generally developed or presented independently. the development of common attribute linkages is done separately or perhaps not at all. First, a completely modular survey of the state of the art concerning regular fractal geometry is given. In addition, a method for calculating the fractal dimension of asymmetric fractals is proposed, where a symmetric fractal is a special case of an asymmetric fractal"--page iii.

Department(s)

Computer Science

Degree Name

M.S. in Computer Science

Publisher

University of Missouri--Rolla

Publication Date

Fall 1988

Pagination

vi, 63 pages

Rights

© 1988 Daniel Michael Doerer, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Fractals

Thesis Number

T 5753

Print OCLC #

19412957

Electronic OCLC #

298439130

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