Solving Jigsaw Puzzles using Iterative Random Sampling: Parallels with Development of Skill Mastery

Abstract: Skill mastery is a priority for success in all fields. We present a parallel between the development of skill mastery and the process of solving jigsaw puzzles. We show that iterative random sampling solves jigsaw puzzles in two phases: a lag phase that is characterized by little change and occupies the majority of the time, and a growth phase that marks rapid and imminent puzzle completion. Changes in the proportions of the number of single pieces and larger pieces can be overlaid on the timeline and progression of skill mastery. An emphasis is placed on the development of connections between pieces, which serves as an indicator of increasing puzzle completion and increasing skill mastery. Our manuscript provides a straightforward visual of skill mastery in the context of a common recreational activity.