Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP
Posting-Version: version B 2.10.1 exptools 1/6/84; site ihnet.UUCP
Path: utzoo!watmath!clyde!burl!mgnetp!ihnp4!ihnet!eklhad
From: eklhad@ihnet.UUCP (K. A. Dahlke)
Newsgroups: net.math
Subject: coloring a 3-dimensional map
Message-ID: <149@ihnet.UUCP>
Date: Wed, 15-Aug-84 09:30:53 EDT
Article-I.D.: ihnet.149
Posted: Wed Aug 15 09:30:53 1984
Date-Received: Thu, 16-Aug-84 01:27:33 EDT
Organization: AT&T Bell Labs, Naperville, IL
Lines: 15

Hard about, we're entering clingon space !!!   See, it's green.

Here is a problem i solved this morning, you might be interested.
When coloring the countries of a 2-dimensional map,
at most 4 colors are needed.
How many colors are necessary to color a 3-dimensional map.
Imagine a blue federation glob, a green clingon glob, a red romulin glob, etc.
The usual rules apply, sectors are adjacent if they have a surface in common.
No two adjacent sectors should have the same color.
In general, how many colors are needed for n dimensions?
Answer in a week.
enjoy.
-- 

Karl Dahlke    ihnp4!ihnet!eklhad