Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 1 of 1
Full-Text Articles in Entire DC Network
Fractal Like Snowflakes Generated By Non-Contractive Function Systems, William H. Kelly Iii
Fractal Like Snowflakes Generated By Non-Contractive Function Systems, William H. Kelly Iii
LSU Master's Theses
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 �� = …