Four Rules and Their Consequences

The Prompt

Explain Conway’s four rules and at least one non-trivial consequence of them — emergence, undecidability, or Turing-completeness. Cite Gardner’s October 1970 Scientific American introduction and at least one secondary source on a discovered structure (the glider gun, Gemini, the universal Turing machine).

Completion Criteria

A short written explanation suitable for a curious reader and two citations.

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