Subject: Re: Four Color Maps<br/>
Date: Dec 06, 2003 @ 22:19<br/>
Author: Eric Choate (&quot;Eric Choate&quot; &lt;choatune@...&gt;)<br/>
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<div id="ygrps-yiv-397109774"><blockquote><span title="ireply">&gt; but how about first showing us a theoretical example of a topology <br/>
&gt; requiring a 5th color<br/>
<br/>
 </span></blockquote>I think I have constructed a hypothetical Asia that needs five <br/>
colors: <br/>
1) Suppose that Bangladesh and Pakistan are still one country, which <br/>
here I will call Old Pakistan.  Now arbitrarily color China red, <br/>
India yellow and Old Pakistan green.  This requires coloring Myanmar <br/>
a different color, say blue.<br/>
2) Now, suppose China grants Tibet independence.  Tibet, bordering <br/>
China, India, and Myanmar, must be colored green.<br/>
3) Then, suppose the Bangladeshi part of Old Pakistan invades India <br/>
and conquers Sikkim, the Indian state between Bhutan and Nepal, <br/>
which also borders Tibet.  This would mean that two &quot;green&quot; <br/>
countries, Old Pakistan and Tibet, would now met and thus force the <br/>
addition of a new color.<br/>
<br/>
I&#39;ll try to post a picture of a simpler scenario requiring only one <br/>
exclave soon.<br/>
Eric</div>