The Assassin Puzzle

The video explores a mathematical puzzle involving an assassin and a target within a square, where shots can ricochet off walls like a billiard ball. The challenge is to determine if a finite number of points can block all possible shots. The video delves into related mathematical concepts, such as the secure polygon problem, dynamical systems, and the use of torus and lattice structures. It also references historical context, including the work of mathematicians like Maryam Mirzakhani and Emily Riehl, to provide insights into solving the puzzle.

Discuss the relationship between the secure polygon problem and the illumination problem.

What mathematical concepts are introduced to help solve the assassin and target puzzle?

How does the concept of a flat torus relate to the paths taken by the assassin's shots?