Pedro H. Milet

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We investigate tilings of cubiculated regions with two simply connected floors by 2×1×1 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(More)
We consider domino tilings of three-dimensional cubiculated manifolds with or without boundary, including subsets of Euclidean space and threedimensional tori. In particular, we are interested in the connected components of the space of tilings of such regions under local moves. Building on the work of the third and fourth authors [19], we allow two(More)
In this paper, we consider domino tilings of regions of the formD×[0, n], where D is a simply connected planar region and n ∈ N. It turns out that, in nontrivial examples, the set of such tilings is not connected by flips, i.e., the local move performed by removing two adjacent dominoes and placing them back in another position. We define an algebraic(More)
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