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arXiv · 1404.6509

Flip invariance for domino tilings of three-dimensional regions with two floors

Pedro H. Milet·Nicolau C. Saldanha
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Abstract

We investigate tilings of cubiculated regions with two simply connected floors by 2 x 1 x 1 bricks. More precisely, we study the flip connected component for such tilings, and provide an algebraic invariant that "almost" characterizes the flip connected components of such regions, in a sense that we discuss in the paper. We also introduce a new local move, the trit, which, together with the flip, connects the space of domino tilings when the two floors are identical.

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Pedro H. Milet, Nicolau C. Saldanha. 2014-11-02. Flip invariance for domino tilings of three-dimensional regions with two floors. https://doi.org/10.1007/s00454-015-9685-y

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