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The Mathematics of Various Entertaining SubjectsResearch in Recreational Math$
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Jennifer Beineke and Jason Rosenhouse

Print publication date: 2015

Print ISBN-13: 9780691164038

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691164038.001.0001

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Some ABCs of Graphs and Games

Some ABCs of Graphs and Games

(p.43) 4 Some ABCs of Graphs and Games
The Mathematics of Various Entertaining Subjects

Jennifer Beineke

Lowell Beineke

Princeton University Press

This chapter explores some objects in which graphs have a role, some explicit, some not obvious. These graphical objects are presented as mathematical exhibits at a museum. The chapter starts with the Amazing Asteroid, following this with a theorem (Bernstein's Bijection), a couple of games (Chromatic Combat and Devious Dice), an episode of Eluding Execution, a coin-tossing game (Flipping Fun), and an African adventure game (Get the Giraffe). Versions of these explorations have all been successfully used with students at various levels—whether in the classroom, for Math Club, or for independent investigation—but they can be appreciated by wider audiences too. The chapter concludes with a brief discussion of how one of the topics in particular is contributing to successful research experiences for undergraduates.

Keywords:   graphical objects, mathematical exhibits, museums, Amazing Asteroid, Bernstein's Bijection, Chromatic Combat, Devious Dice, Eluding Execution, Flipping Fun, Get the Giraffe

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