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With these definitions, the task of tiling the Aztec diamond may be reduced to a constraint satisfaction problem formulated as a binary integer program:.
This formulation can be solved with standard integer programming packages. Additional constraints can be constructed to force placement of particular dominoes, ensure a minimum number of horizontal or vertically-oriented dominoes are used, or generate distinct tilings.
An alternative approach is to apply Knuth's Algorithm X to enumerate valid tilings for the problem. There are many tools used throughout tiling projects, but two useful ones are GeoGebra and program created by Jim Propp , Greg Kuperberg , and David Wilson in SageMath to count the tilings of a shape.
From Wikipedia, the free encyclopedia. GeoGebra category. I", Journal of Algebraic Combinatorics , 1 2 : —, doi : The Aztec Diamond Equestrian coupon discount will adjust your order total.
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