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\begin{document}
\begin{publicity}%{}


\begin{center}
\vspace{.4in}
{\Large \bf DIMACS EDUCATIONAL MODULE SERIES}

\vspace{.8in}

{\Large \bf MODULE 03-3}\\
{\Large \bf Security Cameras and Floodlight Illumination}\\
{\large \bf Date prepared:} \today

\vspace{.3in}
{\bf Marjorie Darrah}\\
{\bf  Senior Scientist}\\
{\bf Institute for Scientific Research}\\
{\bf P.O. Box 2720}\\
{\bf Fairmont, WV 26554-2720}\\
{\bf email: MDarrah@isr.us}

\vspace{.15in}

{\bf Nancy Hagelgans}\\
{\bf Department of Mathematics and Computer Science} \\
{\bf Ursinus College} \\
{\bf Collegville, PA 19426}\\
{\bf email: NHagelgans@Ursinus.edu}

\vspace{.15in}
{\bf Lidia Luquet}\\
{\bf Department of Mathematics and Computer Science}\\
{\bf Saint Mary's College of California}\\
{\bf Moraga, CA 94575-3517}\\
{\bf email: lluquet@stmarys-ca.edu}
\vspace{.15in}

{\bf Allison Wolf}\\
{\bf College of Computing} \\
{\bf Georgia Institute of Technology}\\
{\bf Atlanta, GA 30332-0280}\\
{\bf email: awolf@cc.gatech.edu}
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\begin{center}
{\large \bf Module Description Information}
\end{center}

\begin{itemize}
\item {\bf Title:}

\textbf {Security Cameras and Floodlight Illumination}

\item{\bf Author(s):}

Marjorie Darrah

Nancy Hagelgans

Lidia Luquet

Allison Wolf

\item {\bf Abstract:}

This module leads students to investigate several geometrical aspects
of illumination: the effectiveness of various types of floodlights
placed in polygonal rooms either with or without holes as well as
problems related to lighting a stage.  An optional Section 4 for more
advanced students provides formal statements and proofs of some
intuitive ideas used in the applications.  Exploratory exercises occur
throughout the text to encourage students to reflect on new concepts
as they are introduced.  In addition, more challenging problems are
provided.

\item {\bf Target Audience:}

The module is written for advanced high school students and lower
level college students.

\item {\bf Prerequisites:}

The prerequisites are high school geometry and proof by mathematical
induction.

\item {\bf Topics:}

The topics of this module include security cameras and floodlight
illumination of polygons and of stages.  The floodlight problems
addressed involve determining the maximum of the smallest number of
floodlights required to illuminate regions under certain specified
restrictions.  For example, the floodlights may be required to be
placed only at the polygon's vertices and to have the same aperture;
the polygons under consideration may be required to have the same
number of vertices.  Polygons both with and without holes are
examined.

\item {\bf Goals:}

One goal is to introduce students to some fundamental ideas of
computational geometry through applications to illumination problems.
Another goal is promote the idea that mathematics is a growing body of
knowledge with easily stated unsolved problems.

\item {\bf Anticipated Number of Class Meetings:}

The module requires three class meetings if Section 4 is omitted; two
additional class meetings are needed for Section 4.  Advanced students
may study the module independently with no class meetings.


\newpage
\item {\bf Contact Information:}

Marjorie Darrah \\
Senior Scientist \\
Institute for Scientific Research \\
P.O. Box 2720\\
Fairmont, WV 26554-2720 \\
email: MDarrah@isr.us

\vspace{.15in}
Nancy Hagelgans \\
Department of Mathematics and Computer Science \\
Ursinus College \\
Collegville, PA 19426 \\
email: NHagelgans@Ursinus.edu

\vspace{.15in}
Lidia Luquet \\
Department of Mathematics and Computer Science\\
Saint Mary's College of California\\
Moraga, CA 94575-3517\\
email: lluquet@stmarys-ca.edu

\vspace{.15in}
Allison Wolf \\
College of Computing \\
Georgia Institute of Technology \\
Atlanta, GA 30332-0280 \\
email: awolf@cc.gatech.edu

\item {\bf Other DIMACS modules related to this module:}

None at this time

\end{itemize}
\end{document} 