1. Put some dots on a board.
2. Now take turns joining a dot to a dot with a path. No two paths can cross. Note that no dot can have more than three path connections to it. A dot can be joined to itself, but this counts as two path connections to that dot.
3. After a new path is drawn, put a new dot on that path.
4.When one player can no longer make a move, the other player wins.
Here is an example of game play.
(Dots were colored in when they were no longer useable.)
Variation: Draw a polygon with an even number of sides, like the one pictured below. Glue some pairs of opposite sides together (see earlier games). Then play on these new surfaces.

More Variations:
1) Play where each move must cross a glued side.
2) Play with `walls' on the board. A wall is a line which cannot be