Games and math
Board games and math
- Measuring Board Game Distance
- The source coding game
- Resilient Source Coding
- The maker-breaker percolation game
- Infinite Hex is arithmetic
- Variants of Conway Checkers and k-nacci Jumping
- WINNING LIGHTS OUT WITH FIBONACCI
- The mate-in-n problem of infinite chess is decidable
- Geometric Variants of the Gale–Berlekamp Switching Game
- Depth in Strategic Games
- Characteristics of games (book)
- A brief adventure in mathematical gamification
- The source coding game
- On Covering Codes and Upper Bounds for the Dimension of Simple Games
- Simple games: desirability relations, trading, and pseudoweightings (book)
- On Hats and other Covers
- A Study of Gamification Techniques in Mathematics Education
- Insights on gamification of research in Math and CS
- Gamifying propositional logic (Tao blog)
- QED - an interactive textbook
Games and Complexity
Communication complexity
Games and complexity
Games and Kolmogorov complexity
Surreal numbers and Games
The surreal number system is a totally ordered proper class the real numbers but also infinite and infinitesimal numbers, respectively larger or smaller in absolute value than any positive real number.
Research on the Go endgame by Conway led to the definition and construction of surreal numbers. More in Wikipedia on Surreal numbers and the relationship to Games
Notes, blogs, slides
Articles and books
- Surreal numbers, exponentiation and derivations (Berarducci)
- Conway's field of surreal numbers (N. Alling)
- Secrets and quantifiers
- Winning Ways for Your Mathematical Plays (Berlekamp et al.)
- On Numbers and Games (Conway, 1976)
- Surreal Numbers (Knuth, 2020)