His Homework's a Crazy Hard 100 Year Old Puzzle - Mrs. Perkin's Quilt Problem

Explore a deceptively complex mathematical puzzle that originated from a Reddit post about elementary school homework and traces back to Henry Dudeney's 1917 classic "Amusements in Mathematics." Dive into the famous "Mrs. Perkin's Quilt" problem, which despite appearing in a primary school context, connects to sophisticated mathematical concepts including optimal tiling, squaring the square, and advanced combinatorial geometry. Analyze how a poorly worded fantasy narrative and confusing figure mask a century-old puzzle that has inspired extensive mathematical research and variations. Examine Reddit community responses to the problem before uncovering its historical origins and mathematical significance. Learn about the optimal solutions to the quilt tiling problem and discover how it generalizes to broader mathematical questions. Investigate the connection between Mrs. Perkin's Quilt and the famous "squaring the square" problem, exploring how simple geometric puzzles can lead to deep mathematical insights. Study John Conway's theoretical bounds and contributions to understanding these tiling problems, demonstrating how recreational mathematics often leads to serious mathematical research and applications.