With tricon I tried to construct a pure connection game for 3 players (one and only one player will connect and therefore win).
The game is played on the following board:
On his turn the player chooses an empty triangle. Then he draws a line from the point of his colour to the opposing side of the triangle. If the next triangle is not empty there is only one possibility to leave it. As soon as the line hits an empty triangle it ends on the opposing point (in his colour). A move that aims at a black dot is forbidden.
A player wins if he connects his two sides.
Example of a turn:
Here is an example of a finished game (red won):
Attention! Don't use a too small board. It can happen that there are more than 20 lines between two adjacent points.