Tuesday, February 26, 2013

Basic Othello

Basic Othello Strategy

The goal of the game is to suffer the most game display panel posts at the end of the game. One way to approach stint this goal is to try and secure display board locations that cant be recaptured by your opp anent. Through analysis of the game and this approach in mind, one can verify that the idea of capturing differentiate board locations is constitutional to winning. Below, I will demonstrate these locations and how they become a key factor in the winning of the game:
* Ownership of a corner is irreversible: meaning that an oppenent cant retake it formerly you own it and vice versa.
* Owning 2 next corners means that it will be very likely that you will also own the connecting side. Squares downstairs the influence of the corners are marked by the red Xs in the following image:

* Furthermore, owning any 3 corners creates the strong likeliness of owning 2 adjacent sides. As demonstrated below:

* Those sides, once owned, cant be recaptured by an opponent. Yet most importantly, owning 2 adjacent sides yields the possibility to create many more irreversible pieces. This is do by repeating the same pattern described supra:

Of course, this is only really effective if all the pieces on those two sides are owned by you. Regardless, the principle game schema has now been introduced.

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Initial Board Location Values

In read to translate the importance of board locations to a computer algorithm, an 8X8 hyaloplasm of integer values could be used. This gives us 64 board locations with each of them needing a value. If we allow each board location to have a possible value range of -20 to 20, this gives us approximately 3.4 E102 potential board configurations. That is a few in addition many board configurations to investigate. However, careful inspection of the symmetry of an 8X8 othello board gives 10 unique board location values:

This reduces the resolving set to 1.0 E16 possible board configurations. This is still quite a large number but, believe it or not,...If you want to nab a full essay, order it on our website: Orderessay



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