A shape’s Heesch number is the number of layers of copies of the shape that can be placed around it without gaps or overlaps . Experimentation and searching have turned up examples of shapes with finite Heeschnumbers up to six, but nothing higher . The computational problem of classifyingsimple families of shapes can provide more experimental datato fuel our understanding of this topic . I present a technique for computingHeesch numbers of non-tiling polyforms using a SAT solver .

Author(s) : Craig S. Kaplan

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Keywords : shapes - heesch - number - shape - polyforms -

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