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Kruskal Algorithm Maze Generation

The Maze
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The Randomized Kruskal Algorithm

This algorithm creates a new maze from a grid of cells. To begin, each cell belongs to its own set. Then:
  1. Choose a random wall (vertical or horizontal) between two cells.
    1. If the cells on each side of that wall are already in the same set, do nothing.
    2. If the cells on each side of the wall are not in the same set:
      1. demolish the wall, and
      2. merge the sets containing those two cells.
  2. Continue choosing random walls until all cells are in the same set.
This algorithm tends to produce mazes with many short paths, which are therefore easier to solve than mazes generated with other techniques. The mazes are fully connected, meaning you can travel from any cell to any other cell.

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This applet was last updated July 2019.