Subject: Re: [BoundaryPoint] Re: Four Color Maps
Date: Dec 07, 2003 @ 01:33
Author: Lowell G. McManus ("Lowell G. McManus" <mcmanus71496@...>)
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You are probably correct. As a mathematical problem, the Four-Color Map Theorem
has always ruled out jurisdictions that were in more than one segment.

Lowell G. McManus
Leesville, Louisiana, USA


----- Original Message -----
From: "Eric Choate" <choatune@...>
To: <BoundaryPoint@yahoogroups.com>
Sent: Saturday, December 06, 2003 4:19 PM
Subject: [BoundaryPoint] Re: Four Color Maps


> > but how about first showing us a theoretical example of a topology
> > requiring a 5th color
>
> I think I have constructed a hypothetical Asia that needs five
> colors:
> 1) Suppose that Bangladesh and Pakistan are still one country, which
> here I will call Old Pakistan. Now arbitrarily color China red,
> India yellow and Old Pakistan green. This requires coloring Myanmar
> a different color, say blue.
> 2) Now, suppose China grants Tibet independence. Tibet, bordering
> China, India, and Myanmar, must be colored green.
> 3) Then, suppose the Bangladeshi part of Old Pakistan invades India
> and conquers Sikkim, the Indian state between Bhutan and Nepal,
> which also borders Tibet. This would mean that two "green"
> countries, Old Pakistan and Tibet, would now met and thus force the
> addition of a new color.
>
> I'll try to post a picture of a simpler scenario requiring only one
> exclave soon.
> Eric
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