Day 282 · Oct 8

The Mathematics of the Great Chicago Fire (1871)

The Great Chicago Fire (Oct 8‑10, 1871) killed 300 and destroyed 3.3 square miles. The fire’s spread was influenced by wind, wooden buildings, and the city layout. Modern fire models use percolation theory and cellular automata (the same as for forest fires). The ‘inverse problem’ – reconstructing the ignition source from burn patterns – involves heat transfer equations (partial differential equations). Chicago rebuilt using fire‑resistant materials and a grid plan, which is mathematically optimal for firefighting access. Mathematics helps design safer cities.

What is a ‘cellular automaton’? A grid of cells, each with a state (on fire or not), updated by simple rules. The Game of Life is one example. How can it model fire spread?

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