Flip invariance for domino tilings of three-dimensional regions with two floors
Pedro H. Milet, Nicolau C. Saldanha · 2014
We investigate tilings of cubiculated regions with two simply connected floors by 2×1×1 bricks. More precisely, we study the flip connected com-ponent 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. 1