Home Two-Color Babylon
Article
Licensed
Unlicensed Requires Authentication

Two-Color Babylon

  • Agelos Georgakopoulos EMAIL logo and Peter Winkler
Published/Copyright: October 2, 2012
Become an author with De Gruyter Brill
Author Information Explore this Subject
Integers
From the journal Integers Volume 12 Issue 5

Abstract.

We solve the game of Babylon when played with chips of two colors, giving a winning strategy for the second player in all previously unsolved cases.

Keywords: Babylon; Game; Strategy
Received: 2011-11-17
Accepted: 2012-03-01
Published Online: 2012-10-02
Published in Print: 2012-10-01

© 2012 by Walter de Gruyter Berlin Boston

Articles in the same Issue

  1. Masthead
  2. Two-Color Babylon
  3. On Abelian and Additive Complexity in Infinite Words
  4. Approximations of Additive Squares in Infinite Words
  5. The Googol-th Bit of the Erdős–Borwein Constant
  6. Odd Repdigits to Small Bases Are Not Perfect
  7. Enumeration of the Degree Sequences of Line-Hamiltonian Multigraphs
  8. The Characteristic Sequence and p-Orderings of the Set of d-th Powers of Integers
  9. Van der Waerden's Theorem on Homothetic Copies of {1,1+s,1+s+t}
  10. Sum-Products Estimates with Several Sets and Applications
  11. The 2-Adic, Binary and Decimal Periods of 1/3k Approach Full Complexity for Increasing k
  12. A Proof of Catalan's Convolution Formula
  13. Explicit Constructions of Large Families of Generalized More Sums Than Differences Sets
  14. The Impossibility of Certain Types of Carmichael Numbers
  15. Integer Subsets with High Volume and Low Perimeter
  16. Mean-Value Theorems for Multiplicative Arithmetic Functions of Several Variables
  17. A Generalized Diagonal Wythoff Nim
  18. A Recursive Process Related to a Partizan Variation of Wythoff
  19. The (r1,...,rp)-Stirling Numbers of the Second Kind
  20. Factor Frequencies in Languages Invariant Under Symmetries Preserving Factor Frequencies
  21. On k-Lehmer Numbers
https://doi.org/10.1515/integers-2012-0003
Keywords for this article
Babylon; Game; Strategy

Articles in the same Issue

  1. Masthead
  2. Two-Color Babylon
  3. On Abelian and Additive Complexity in Infinite Words
  4. Approximations of Additive Squares in Infinite Words
  5. The Googol-th Bit of the Erdős–Borwein Constant
  6. Odd Repdigits to Small Bases Are Not Perfect
  7. Enumeration of the Degree Sequences of Line-Hamiltonian Multigraphs
  8. The Characteristic Sequence and p-Orderings of the Set of d-th Powers of Integers
  9. Van der Waerden's Theorem on Homothetic Copies of {1,1+s,1+s+t}
  10. Sum-Products Estimates with Several Sets and Applications
  11. The 2-Adic, Binary and Decimal Periods of 1/3k Approach Full Complexity for Increasing k
  12. A Proof of Catalan's Convolution Formula
  13. Explicit Constructions of Large Families of Generalized More Sums Than Differences Sets
  14. The Impossibility of Certain Types of Carmichael Numbers
  15. Integer Subsets with High Volume and Low Perimeter
  16. Mean-Value Theorems for Multiplicative Arithmetic Functions of Several Variables
  17. A Generalized Diagonal Wythoff Nim
  18. A Recursive Process Related to a Partizan Variation of Wythoff
  19. The (r1,...,rp)-Stirling Numbers of the Second Kind
  20. Factor Frequencies in Languages Invariant Under Symmetries Preserving Factor Frequencies
  21. On k-Lehmer Numbers
Sign up now to receive a 20% welcome discount
Institutional Access
How does access work?
Have an idea on how to improve our website?
Please write us.
© 2025 De Gruyter Brill
Downloaded on 5.9.2025 from https://www.degruyterbrill.com/document/doi/10.1515/integers-2012-0003/html
Scroll to top button