Conditions for Discrete Equidecomposability of Polygons
Turner, Paxton · Wu, Yuhuai
Original · EN
Two rational polygons P and Q are said to be discretely equidecomposable if there exists a piecewise affine-unimodular bijection (equivalently, a piecewise affine-linear bijection that preserves the integer lattice Z × Z) from P to Q. In [TW14], we developed an invariant for rational finite discrete equidecomposability known as weight. Here we extend this program with a necessary and sufficient condition for rational finite discrete equidecomposability. We close with an algorithm for detecting and constructing equidecomposability relations between rational polygons P and Q.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.