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2017 | OriginalPaper | Chapter

E21. Cover-Up with John Conway, Mitya Karabash, and Ron Graham

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Abstract

The problem title comes from a famous proverb “To have a cake and eat it too,” which in my early American years I could not understand. Surely you have to “have a cake” in order “to eat it”! A better formulation of this folk wisdom would have been “To keep a cake and eat it too,” which is obviously impossible, hence a moral of the proverb. But that is not what I would like to share with you here. A version of what follows first appeared in the second, 2009 Springer edition of my book “How Does One Cut a Triangle?” [Soi6]. But it fits here so well that I am including its new updated and expanded 2016 version.

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Footnotes
1
At the same time, I was a “Long Term Visiting Scholar” at Rutgers University, Piscataway, but there I was involved in totally different problems, jointly with the genius Saharon Shelah. Read about it in my “The Mathematical Coloring Book: Mathematics of Coloring and the Colorful Life of Its Creators” [Soi3].
 
Literature
[CG]
go back to reference Chung, F., & Graham, R. (2009). Packing equal squares into a large square. Journal of Combinatorial Theory Series A, 116, 1167–1175.MathSciNetCrossRefMATH Chung, F., & Graham, R. (2009). Packing equal squares into a large square. Journal of Combinatorial Theory Series A, 116, 1167–1175.MathSciNetCrossRefMATH
[CS1]
go back to reference Conway, J. H., & Soifer, A. (2005). Covering a triangle with triangles. The American Mathematical Monthly, 112(1), 78. Conway, J. H., & Soifer, A. (2005). Covering a triangle with triangles. The American Mathematical Monthly, 112(1), 78.
[EG1]
go back to reference Erdős, P., & Graham, R. L. (1975). On packing squares with equal squares. Journal of Combinational Theory Series A, 19, 119–123.MathSciNetCrossRefMATH Erdős, P., & Graham, R. L. (1975). On packing squares with equal squares. Journal of Combinational Theory Series A, 19, 119–123.MathSciNetCrossRefMATH
[KS1]
[KS2]
go back to reference Karabash, D., & Soifer, A. (2008). Note on covering square with equal squares. Geombinatorics, XVIII(1), 13–17.MathSciNetMATH Karabash, D., & Soifer, A. (2008). Note on covering square with equal squares. Geombinatorics, XVIII(1), 13–17.MathSciNetMATH
[Soi2]
[Soi3]
go back to reference Soifer, A. (2009). The mathematical coloring book: Mathematics of coloring and the colorful life of its creators. New York: Springer.MATH Soifer, A. (2009). The mathematical coloring book: Mathematics of coloring and the colorful life of its creators. New York: Springer.MATH
[Soi6]
go back to reference Soifer, A. (2009). How does one cut a triangle? (2nd expanded edition). New York: Springer. Soifer, A. (2009). How does one cut a triangle? (2nd expanded edition). New York: Springer.
[Soi10]
go back to reference Soifer, A. (2015). The scholar and the state: In search of Van der Waerden. Basel, Switzerland: Birkhäuser Springer.CrossRefMATH Soifer, A. (2015). The scholar and the state: In search of Van der Waerden. Basel, Switzerland: Birkhäuser Springer.CrossRefMATH
Metadata
Title
E21. Cover-Up with John Conway, Mitya Karabash, and Ron Graham
Author
Alexander Soifer
Copyright Year
2017
DOI
https://doi.org/10.1007/978-3-319-52861-8_13

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