How would you go about implementing the game reversi? (othello)

Issues...

Well, just be sure when writing the strategy part of the game, not to simply do the move that gives you the most pieces. You must also give weight to board position. For example, given the opportunity to place a piece in a board corner should take priority over any other move (besides winning the game) as that piece can never be turned back over. And, placing a piece adjacent to a corner spot is just about the worst move you can ever make (if the corner space is open).

Hope this helps!

As mentioned by others, I would begin by getting a deep understanding of the gameplay and strategies, and the algorithms involved. This link may be useful to you, it describes basic Othello strategy and algorithms:

http://www.site-constructor.com/othello/Present/Basic_Strategy.html

As the guys were suggesting my idea of telling you for thinking first for algorithms and the game logic. next answer for me was the graphics library, it depends on your target platform, programming language, framework etc. But as I suggest is using C# with Cairo 2D graphics library which you can achieve this using Mono framework (which then you can target all three major operating systems for your game to work) -> www.mono-project.org. Meanwhile I found this I think that and this kind of resource will help you: http://home.datacomm.ch/t_wolf/tw/misc/reversi/html/index.html. But if you finish this, you can try implementing Sudoku.