# Difference between revisions of "Brain Maze"

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

</pre> | </pre> | ||

− | 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. | + | 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 (XPM format). This is easily converted to PNG. You may click on the following link to view the maze: [[file:big_maze.png]] |

This generates a random maze with no loops. It is a [http://en.wikipedia.org/wiki/Spanning_tree_%28mathematics%29 spanning tree] -- ''a connected, undirected graph that uses all the vertices in a graph with no cycles''. | This generates a random maze with no loops. It is a [http://en.wikipedia.org/wiki/Spanning_tree_%28mathematics%29 spanning tree] -- ''a connected, undirected graph that uses all the vertices in a graph with no cycles''. |

## Revision as of 18:21, 9 May 2010

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 (XPM format). This is easily converted to PNG. You may click on the following link to view the maze:

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" />