E2. Chromatic Number of the Plane (My Favorite Open Problem)

  • Alexander Soifer


This is my favorite open problem in all of mathematics, so much so that by the time this new Springer edition is coming out, I have written The Mathematical Coloring Book [S11] about this and related problems. In the first 1994 edition of this book I remarked that The Coloring Book will appear in 1995, and the following essay is essentially an excerpt from its Chapter II. In fact, The Mathematical Coloring Book came out froom Springer much later, on November 4, 2008, the day we elected President Barack Obama. I gave it 18 years and all I had in terms of my knowledge of the arts, sciences, poetry, philosophy, aesthetics, and in terms of all my energy and passion. I hope you will read and enjoy that 640-page magnum opus. I will leave this essay more or less as it originally appeared in 1994, with a new mild editing – it will now serve as an introduction to The Coloring Book.


Chromatic Number Regular Hexagon Distance Geometry Mathematical Text Color Distance 
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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.College of Letters, Arts and SciencesUniversity of Colorado at Colorado SpringsColorado SpringsUSA

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