You have 27 transparent unit cubes arranged in a 3 by 3 by 3 array and red and black marbles.

3 by 3 box with three red marbles arranged in a line inside as an example

Marbles are alternately placed into the 27cubes by two players.

The object of the game is to complete as many winning lines of three marbles as possible.

How many unique winning lines are possible?