Fractal Shapes Generated by Iterated Function Systems

Identifier

etd-11032016-091909

Author

Mary Catherine McKinley, Louisiana State University and Agricultural and Mechanical CollegeFollow

Degree

Master of Science (MS)

Department

Mathematics

Document Type

Thesis

Abstract

This thesis explores the construction of shapes and, in particular, fractal-type shapes as fixed points of contractive iterated function systems as discussed in Michael Barnsley's 1988 book ``Fractals Everywhere." The purpose of the thesis is to serve as a resource for an undergraduate-level introduction to the beauty and core ideas of fractal geometry, especially with regard to visualizations of basic concepts and algorithms.

Date

2016

Document Availability at the Time of Submission

Release the entire work immediately for access worldwide.

Recommended Citation

McKinley, Mary Catherine, "Fractal Shapes Generated by Iterated Function Systems" (2016). LSU Master's Theses. 4571.
https://repository.lsu.edu/gradschool_theses/4571

Committee Chair

Neubrander, Frank

DOI

10.31390/gradschool_theses.4571