Infinite Chess

Imagine an infinitely-large chess board with an infinite number of pieces. Pupils learn about infinite chess and how it is a determined game, in that there is always a winning strategy. The video first applies Zermelo's Theorem to show that finite chess is a determined game and then moves on to investigate infinite chess.

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Instructional Ideas
  • Play the marble pile game with the class to analyze strategies
  • Have groups research strategies for some of the other games mentioned in the video
Classroom Considerations
  • Individuals need to be familiar with ordinal numbers, such as from the video Kill the Mathematical Hydra in the same series
  • It is helpful if scholars have a basic understanding of chess pieces
Pros
  • Provides links in the description to other relevant sites
  • Diagram helps with comprehension
Cons
  • None