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2023-12-09 18:17:22 -08:00
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Advanced/Lattices/parts/2 orchard.tex
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\section{Polya's Orchard Problem}
You are standing in the center of a circular orchard of integer radius $R$. A tree of raduis $r$ has been planted at every integer point in the circle. If $r$ is small, you will have a clear line of sight through the orchard. If $r$ is large, there will be no clear line of sight through in any direction:
You are standing in the center of a circular orchard of integer radius $R$.
A tree of radius $r$ has been planted at every integer point in the circle.
If $r$ is small, you will have a clear line of sight through the orchard.
If $r$ is large, there will be no clear line of sight through in any direction:
\begin{center}
\hfill