Abstract
A polycube is a face-connected set of cubical cells on Z3. To-date, no formulae enumerating polycubes by volume (number of cubes) or perimeter (number of empty cubes neighboring the polycube) are known. We present a few formulae enumerating polycubes with a fixed deviation from the maximum possible perimeter.
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CITATION STYLE
APA
Asinowski, A., Barequet, G., & Zheng, Y. (2018). Polycubes with small perimeter defect. In Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms (pp. 93–100). Association for Computing Machinery. https://doi.org/10.1137/1.9781611975031.6
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