The Pigeonhole Principle: Limits of Possibility in Games and Beyond
The pigeonhole principle is a foundational concept in combinatorics stating that if more than *n* objects are distributed across *n* containers, at least one container must hold multiple objects. This deceptively simple idea reveals deep truths about unavoidable redundancy and structural limits—principles that govern not only games but also logic, algorithms, and real-world systems. By […]
