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November 2001, Volume 94, Issue 8

FEATURES

Understanding Transformations of Periodic Functions through Art
Syrilda Miller
The process of developing an interdisciplinary unit through professional connections is illustrated. Students create artistic designs, deepening their understanding of transformations of periodic functions.

An Analysis of Bending Wood by Using Kerf Cuts
Denise Barkow, Chris Hoffman, Rick Gillman, Josh Wingstrom
An analysis of a carpenter's technique for creating wood arches utilizes elementary geometric and trigonometric information. An error analysis reveals the effectiveness of the technique.

Connecting with Geology: Where's the End of the Cave?
H. Vacher, John Mylroie
Using vector arithmetic and a spreadsheet algorithm to find the Cartesian coordinates of stations in a cave from the distance, azimuth and inclination of a cave passages.

Rugby and Mathematics: A Surprising Link among Geometry, the Conics, and Calculus
Troy Jones, Steven Jackson
An investigation using geometry, the conic sections, and calculus to find the ideal location from which to kick a conversion in rugby.

Flying through Graphs: An Introduction to Graph Theory
Amy McDuffie
An activity incorporating basic terminology, concepts and solution methods of graph theory in the context of solving problems related to airline travel.

Privacy for the Twenty-First Century: Cryptography
Richard Petras
The need for strong cryptosystems and the history of cryptography, leading to the development of public-key cryptography and the RSA cryptosystem.

Stand Up and Be Counted: The Mathematics of Congressional Apportionment
Peggy House
Determining how to allot seats in the House of Representatives has presented mathematical challenges throughout the history of the United States.

Functions of Number Theory in Music
Craig Johnson
Fundamental concepts in number theory play an important role in the expression of structure and pattern in music. These connections are featured in functions that relate the effects of inversion on the key of a musical composition.

Connecting Data and Geometry
Timothy Erickson
Connecting data and geometry by finding relationships between the areas and perimeters of randomly-generated rectangles.