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The Design of the Century: Steiner Systems and the S(2,4,100) Challenge
Manage episode 514642860 series 3690682
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We explore the world of Steiner systems, from the Fano plane to the infamous S(2,4,100) problem. Discover how blocks of fixed size cover every pair of points exactly once, why the 3–1 coloring constraint turned the problem into the so-called Design of the Century, and how a months-long, computation-driven search finally proved existence. We also uncover the surprising nested structure—a Steiner system S(2,3,45) hidden inside the 100-point design—and discuss what these abstract objects reveal about coding theory, experimental design, and the deeper architecture of mathematics.
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