Folding polyominoes with holes into a cube

نویسندگان

چکیده

When can a polyomino piece of paper be folded into unit cube? Prior work studied tree-like polyominoes, but polyominoes with holes remain an intriguing open problem. We present sufficient conditions for one or several to fold cube, and under which cube folding is impossible. In particular, we show that all five special “basic” guarantee foldability.

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ژورنال

عنوان ژورنال: Computational Geometry: Theory and Applications

سال: 2021

ISSN: ['0925-7721', '1879-081X']

DOI: https://doi.org/10.1016/j.comgeo.2020.101700