Domino Tiling

Suppose we use dominoes measuring 2×1 to tile an infinite strip of height 2.  In a typical tiling what fraction of the dominoes will be oriented vertically?  Typical can be defined rigorously by considering all possible tilings of a 2×n rectangle and then letting n go to infinity.

Source: Ponder This, June, 2006

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Cyclic Quadrilateral

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