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Summary
To understand better some of the classic knights and knaves puzzles, we count them. Doing so reveals a surprising connection between puzzles and solutions, and highlights some beautiful combinatorial identities.
Additional information
Notes on contributors
Oscar Levin
Oscar Levin ([email protected]) received a Ph.D. from the University of Connecticut in 2009. Currently he is an assistant professor at the University of Northern Colorado. In addition to research in mathematical logic and computability theory, he enjoys recreational mathematics, especially for teaching. His web site, Math Puzzle Wiki (mathpuzzlewiki.com), collects what he hopes are the best mathematical puzzles for this use.
Gerri M. Roberts
Gerri M. Roberts ([email protected]) graduated from Poudre High School in May of this year, where she was an avid member of Math Club, Science Olympiad, and Science Bowl. She started on this project at the 2011 Frontiers in Science Institute at the University of Northern Colorado. She hopes to continue doing research as an undergraduate, and plans a major in mathematics (or chemistry).