Mark Thompson
 Math Education
 Math Recreations
 Abstract Games
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 Archimedes

Archimedes, by Scott Marley and Philip Cohen

Archimedes was published in GAMES magazine, July 1988, and Michael Keller of World Game Review has written a program to implement it.  It is one of the fine games other than checkers variants that can be played with widely-available checkers equipment.  The name derives from the legend that Archimedes built solar mirrors that allowed his countrymen to destroy enemy ships from afar by means of “rays.”

Picture

The two armies start in the positions shown.  The pieces, called “ships,” move as chess queens.  They are not allowed to end their turn in their home port (the corner square, marked here with an anchor).  The method of capture is novel:  a ship is captured when it is “under attack” (in the chess sense) by three enemy ships at the end of the enemy’s move.  Multiple captures are possible.  Capturing a ship may also bring about the capture of another ship that it had previously shielded.

If some of your ships have been captured, you can use your turn to rebuild one by entering it onto your home port square.  But since it cannot end your turn in your port, you must immediately move it out.  Therefore you can only rebuild if you have free space around your port.

The object of the game is to make it impossible for your enemy to end his turn with his home port vacant, by moving one of your ships there in such a way that he cannot capture it on his next turn.

Questions, corrections, comments:  Send me e-mail at  markthom@flash.net

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