# Brain Maze

This is a fractal algorithm I created for generating mazes. I think it's pretty neat. The original was written in C for a computer science class I was taking at UCSC. This version is in Python. The original would print spaces and hashes (#) to display the maze.

In this version I also added HTML output. When I came up with the algorithm there were fewer than 1000 web sites -- it wasn't popular yet. My original C source has this comment explaining the limit to the number of recursive iterations that could be done:

/* Six is the max value that seems to work on a 640K DOS machine */

Nowadays, my Apple Mac Mini with a dual core 1 GHz CPU can run the interpreted Python version in less than 400 ms when set for 6 iterations. It can do 10 iterations in under 2 minutes producing an output of 2047 columns by 2047 rows, taking 4 MB of ASCII text.

This generates a random maze with no loops. It is a spanning tree -- *a connected, undirected graph that uses all the vertices in a graph with no cycles*.

You can run the brain maze algorithm by clicking here: Generate a Brainmaze

The mazes generated by this algorithm are made up of the following maze **atoms**:

# # ### ### ### # # ### # # # # # # ### # ### # # ### ### # # ###

This can be simplified by removing rotated copies to these two mazeatoms:

### # # # # ### # # # #

Click here to download: brainmaze.py <include src="/home/noahspurrier/noah.org/engineering/src/python/brainmaze.py" highlight="python" />