Motz's problem

Motz's problem is a question in recreational mathematics named after mathematician John Motz. The problem typically asks whether it is possible to distribute a given number of objects (often identified in the context of combinatorial games or puzzles) in such a way that certain conditions or constraints are satisfied. One common formulation of Motz's problem involves partitioning a set of items or arranging them in configurations that follow specific rules, often leading to intriguing and complex patterns.