Subject: Re: Four Color Maps
Date: Dec 06, 2003 @ 00:48
Author: adamnvillani ("adamnvillani" <avillani@...>)
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--- In BoundaryPoint@yahoogroups.com, "Eric Choate" <choatune@y...>
wrote:
> What about US states with counties? Or I'm sure with all the
> gerrymandering in state legislatures, a congressional district map
> somewhere needs a fifth color. Anyone know of one?

Probably not, actually. The gerrymandering takes such bizarre forms
because the districts have to all be continuous. So if a district
wants to include two towns on opposite ends of the state, there has
to be a continuous corridor of that district between the two towns.
And any districts inbetween can't cross the corridor; to be on both
sides of the corridor, they'd have to reach around one or both of the
two towns in question. So topologically, there are no exclaves of
congressional districts, and water counts as territory. The only
exception would be something where the state itself has an exclave,
but the only true exclave in the US is in the western corner of
Kentucky.

Adam