Semester of Graduation
Fall 2022
Degree
Master of Natural Sciences (MNS)
Document Type
Thesis
Abstract
At the heart of this thesis is the examination of a non-contractive iterative function system T on the Hausdorff metric space of all compact subset of ℝ . Despite the absence of an 2 attracting fixed point, an examination reveals the appearance of fractal-like shapes (snowflakes) when applying the Barnsley’ random walk method to study the iterative sequence ��n(0) (�� ∈ ℕ) for �� = ��1 ∪ ��2 ∪ ��3, where ��1(��) = ����, ��2(��) = ���� + ��, and ��3(��) = ���� - ��, and �� = ����π/3.
Date
11-3-2022
Recommended Citation
Kelly, William H. III, "Fractal Like Snowflakes Generated by Non-Contractive Function Systems" (2022). LSU Master's Theses. 5690.
https://repository.lsu.edu/gradschool_theses/5690
Committee Chair
Neubrander, Frank
DOI
10.31390/gradschool_theses.5690