Exhibit #3
The first 8 rules
For Drawing Unicursal Mazes
For Drawing Unicursal Mazes
The following exhibit displays the first eight rules for drawing unicursal mazes.
The first rule is to not go off of the field. Each point must be connected to the next nearest point orthogonally (up, down, left or right).
The second rule is that you can only occupy the exit point only when you have occupied all of the other points first.
The third rule is that you can not re-enter a point that you have previously occupied.
The fourth rule is that you can not occupy a point if a candidate non-exit point exists that has only exit path remaining.
The fifth rule is that you can not occupy a candidate point if that point closes off the last remaining exit path of the exit point before all other points have been occupied.
The sixth rule is that you can not occupy a candidate point where you are not allowed to proceed in the direction that you were travelling (for example, either because you have at the edge of the field or because that point is already occupied) AND the points to either side of the candidate point perpendicular to your direction are unoccupied.
The seventh rule is that you can not occupy a candidate point where, upon occupying the point, the candidate point and the point diagonal to it are occupied (or an as-exit point) but the two points opposite of that diagonal are unoccupied.
The eighth rule is that you can not occupy a candidate point where, upon occupying the point, an entire row or column 'blocks off' unoccupied non-exit points from being occupied.
There are several more to come.
You are free to continue to examine the offerings here at your leisure or travel elsewhere on the website. Thank you for taking the time to view this exhibit.