Mark Thompson
 Math Education
 Math Recreations
 Abstract Games
 Great Thoughts
 Alhambra

Alhambra, by Mark Thompson

The unit cell of the Cairo tiling is a pentagon, but the tiling can also be viewed as two sets of hexagons intersecting at right angles.  Each hexagon is made up of four pentagons.  Alhambra uses the board shown below and an opaque bag of pentagonal Cairo tiles in four colors (red, yellow, blue, and green).  There are two players, Horizontal and Vertical.  Each player draws four tiles from the bag without looking, and places them so they are visible to both players.  A move consists of covering one of the pentagons on the board with a tile from your hand, and drawing another tile from the bag to bring the total to four again.  A tile may not be played onto a cell where either the horizontally- or vertically-oriented hexagon already contains a tile of that color.

The object of the game is to get two hexagons that are oriented in your direction colored alike.  “Alike” means the hexagons have the same color tiles in corresponding cells, where cells correspond by being in the same relative position without rotating or reflecting the hexagon.

This game, like most of mine, is untested.  If you play it and have comments, please let me know!

Picture

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

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