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How many colors does it take to color a map so no two regions have the same color?. Four Color Theorem ( Guthrie’s Problem). 1… 2… 3… 4…!. A Little History…. Francis Guthrie, in 1852 was the first to put the four color theorem into words. While coloring a map of counties of England

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## How many colors does it take to color a map so no two regions have the same color?

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**How many colors does it take to color a map so no two**regions have the same color?**Four Color Theorem( Guthrie’s Problem)**1…2…3…4…!**A Little History…**Francis Guthrie, in 1852 was the first to put the four color theorem into words. While coloring a map of counties of England He noticed that only four colors were needed.**Defining the Four Color Theorem**Any map can in a plane can be colored with only four colors so that now regions having a common boundary have the same color. Those regions that have only a point in common are not considered to have shared boundaries.**The four color theorem is a mathematical brainteaser that**can be appreciatedby non-mathematicians as well as mathematicians.**Computer Controversy**In 1976 , the conjecture was apparently proven by Wolfgang Haken and Kenneth Appel with the aid of a computer. The proof of the four color theorem is a doorway to some interesting questions about the role of human minds and computing machines in mathematics.**Consider the coloring of geographical maps, is the problem**basically a topological problem? Yes, in that it depends only on the connectives between the countries, not on their specific shapes, sizes, or positions.**Flash! -Mathematical Breakthrough!**In December 2004, Dr. George Gonthier removed last doubts about the proof of the Four Color Theorem.**Contributors**Wendy Cozart Dr. Geo. Gonthier Nancy Lutz Thelma Mayes August F. Mobius Kristen Ochs M. Lynne Ryan ToniAnne Tillotson

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