OpenGL and Java have been finally fused. The applet below is one of many samples bundled with the Java OpenGL libraries. The sample can be freely copied and distributed. I thought I'd do just that before learning programming OpenGL myself. This is a delightful example of 3d graphics.
The game is a 3d tic-tac-toe, known as tic-toc-tac-toe.
To play the game, drag the mouse.
Oren Patashnick is said to have [WW, p. 674] shown that the player to start the game have a winning strategy. So unlike the original 2d 3×3 game that ends in draw provided the players make no stupid moves, the first player has a chance at winning. This is a theory. As you may observe, it's not at all simple to achieve a win in practice.
How many different ways are there to place 4, say, crosses in a winning streak?
Consider a 6×6×6 board centered around the given 4×4×4 cube. Each winning line of the latter intersects exactly two 1×1×1 cubes in the outer shell. On the other hand, each such 1×1×1 cube located in the outer shell lies on a single winning line. The total number of the winning lines therefore is given by
(63 - 43) / 2 = 76.
(You can verify this approach on the common 3×3 board: (52 - 32) / 2 = 8, as expected.)