Cookie Monster Plays Games
@article{Khovanova2014CookieMP,
title={Cookie Monster Plays Games},
author={Tanya Khovanova and Joshua Xiong},
journal={The College Mathematics Journal},
year={2014},
volume={46},
pages={283 - 293}
}Summary We research a combinatorial game based on the Cookie Monster problem called the Cookie Monster game that generalizes the games of Nim and Wythoff. We also propose several combinatorial games between this Cookie Monster game and Nim, and discuss the winning positions of these games.
One Citation
Mathematical Research in High School: The PRIMES Experience
- Education
- 2015
Christina and Joseph, as well as over a hundred other students, have done their research at PRIMES and want to tell a wider mathematical community how such a seemingly impossible thing as mathematical research in high school can actually be done.
References
SHOWING 1-10 OF 20 REFERENCES
Winning Ways for Your Mathematical Plays
- Art
- 1982
In the quarter of a century since three mathematicians and game theorists collaborated to create Winning Ways for Your Mathematical Plays, the book has become the definitive work on the subject of…
On the Cookie Monster Problem
- Mathematics
- 2013
The Cookie Monster Problem supposes that the Cookie Monster wants to empty a set of jars filled with various numbers of cookies. On each of his moves, he may choose any subset of jars and take the…
Cookie Monster Devours Naccis
- Mathematics
- 2013
Summary The Cookie Monster wants to empty a set of jars filled with various numbers of cookies. On each of his moves, he may choose any subset of jars and take the same number of cookies from each of…
Emptying Sets: The Cookie Monster Problem
- Mathematics
- 2013
Given a set of integers $S = \{k_1,\ k_2,...,\ k_n\}$, the Cookie Monster Problem is the problem of making all elements of the set equal 0 in the minimum number of moves. Consider the analogy of…
The Inquisitive Problem Solver
- Education
- 2002
The Inquisitive Problem Solver is a collection of mathematical miniatures composed to stimulate and entertain to show how everyday situations can lead an inquisitive problem solver to profound and far-reaching mathematical principles.
The Golden Section
- Mathematics
- 1990
Proof: We consider a triangle with two equal sides of length 1 and the angles 36◦, 72◦ and 72◦ (see figure 1.). This triangle can be divided in four equal triangles with corners A, B, C, D, F , and…
How donated blood is tested: An interview with Canadian Blood Services
- Medicine
- 2011
The collected blood is tested for the following infectious diseases: Syphilis, Human Immunodeficiency Virus 1 and 2, Hepatitis B and C, Human T-Cell Lymphotropic Virus I and II, and West Nile Virus.