A perfect maze is a maze where any two cells can be joined by a unique path.In the literature, there exist eleven maze generation algorithms as compiled by Buck in 2015 in his book Mazes for Programmers. Each algorithm creates mazes dierently. Our aim is to analyze how perfect mazes are generated. For this, we use the simple measures introduced by Buck, as well as the physical based measures introduced by McClendon in 2001. We introduce a new measure that helps us establish a ranking for perfect mazes. We also propose two new maze generation algorithms, called Prim & Kill and Twist & Merge. According to our measure, these two algorithms generate mazes dierently than the existing algorithms do. * Corresponding author 1 Our work can be generalized to dierent shapes but this simplies the presentation of our results.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.