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The Four-Color Theorem: A Historical Account of the 1852-1976 Mathematical Proof Journey

By

bikenaga

3mo ago· 61 min readenInsight

Summary

This article recounts the historical development and eventual proof of the Four-Color Theorem, a mathematical problem first posed by Francis Guthrie in 1852 that asks whether every map drawn on a plane or sphere can be colored with just four colors so that adjacent regions have different colors. The article focuses on the 50-year journey from the problem's inception to its eventual proof by Kenneth Appel and Wolfgang Haken in 1976, detailing the mathematical challenges, failed attempts, and the eventual computer-assisted proof that established the theorem.

Key quotes

· 3 pulled
The four-color problem asks whether the regions of every map drawn on a plane or sphere can be colored with just four colors in such a way that any two regions sharing a common boundary line receive different colors.
First posed by Francis Guthrie in 1852, it was eventually answered in 1976 by Kenneth Appel and Wolfgang Haken, when it became known as the four-color theorem.
To mark its 50th anniversary, this article recounts the story of the proof, focusing particularly on...
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Robin Wilson

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