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{\bf Eric Nordenstam and Benjamin Young }
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{\bf Domino Shuffling on Novak Half-Hexagons and Aztec Half-Diamonds}
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We explore the connections between the well-studied Aztec Diamond graphs and a new
family of graphs called the Half-Hexagons, discovered by Jonathan Novak. In
particular, both families of graphs have very simple domino shuffling algorithms,
which turn out to be intimately related. This connection allows us to prove an
``arctic parabola'' theorem for the Half-Hexagons as a corollary of the Arctic
Circle theorem for the Aztec Diamond.
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