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The Plaid Model: (AMS-198)

Richard Evan Schwartz

Published in print:
2019
Published Online:
September 2019
ISBN:
9780691181387
eISBN:
9780691188997
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691181387.001.0001
Subject:
Mathematics, Educational Mathematics

Outer billiards provides a toy model for planetary motion and exhibits intricate and mysterious behavior even for seemingly simple examples. It is a dynamical system in which a particle in the plane ... More


Pinwheels and Quarter Turns

Richard Evan Schwartz

in The Plaid Model: (AMS-198)

Published in print:
2019
Published Online:
September 2019
ISBN:
9780691181387
eISBN:
9780691188997
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691181387.003.0015
Subject:
Mathematics, Educational Mathematics

This chapter is the first of three that will prove a generalization of the Graph Master Picture Theorem which works for any convex polygon P without parallel sides. The final result is Theorem 16.9, ... More


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