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TITLE: Cellular Automata and Applications
AUTHOR: Gavin Andrews
ABSTRACT: This paper is a study of cellular automata as computational
programs and their remarkable ability to create complex behavior from
simple rules. We examine a number of these simple programs in order to
draw conclusions about the nature of complexity seen in the world and
discuss the potential of using such programs for the purposes of modeling.
The information presented within is in large part the work of
mathematician Stephen Wolfram, as presented in his book A New Kind of
Science.
ADVISOR: Albert Schueller
TITLE: A Review of Properties and Variations of Voronoi Diagrams
AUTHOR: Adam Dobrin
ABSTRACT: This paper is a review of Voronoi diagrams, Delaunay triangulations,
and many properties of specialized Voronoi diagrams. We will also look at
various algorithms for computing these diagrams. The majority of the material
covered is based on research compiled by Atsuyuki Okabe in Spatial
Tessellations: Concepts and Applications of Voronoi Diagrams. However,
there will also be references to research and results presented in many
papers.
ADVISOR: Albert Schueller