Mazemaze16 Upd Official

Mazes have fascinated humanity for over 4,000 years, from mythical labyrinths to modern computational puzzles. This paper, titled Mazemaze16 (referencing both the iterative nature of maze design and a 16x16 grid standard for benchmarking), provides an informative overview of maze generation and solving algorithms. It covers historical context, mathematical graph theory foundations, algorithmic families (randomized Kruskal’s, recursive backtracking, Wilson’s algorithm), solving techniques (wall follower, Tremaux’s, dead-end filling), and applications in robotics, psychology, and encryption. 1. Introduction: What is a Maze? A maze is a complex network of paths or passages designed to confuse the navigator. Unlike a labyrinth (a single unbranching path), a maze contains junctions, dead ends, and loops. In formal terms, a perfect maze is a spanning tree of a grid graph — a connected, acyclic graph where exactly one path exists between any two points.

Mazemaze16: A Comprehensive Exploration of Maze Algorithms, Topology, and Cognitive Applications mazemaze16