When can a polyomino piece of paper be folded into a unit cube? Prior work studied tree-like polyominoes, but polyominoes with holes remain an intriguing open problem. We present sufficient conditions for a polyomino with hole(s) to fold into a cube, and conditions under which cube folding is impossible. In particular, we show that all but five special simple holes guarantee foldability.
|Title of host publication||Proc. 31th Annual Canadian Conference on Computational Geometry CCCG 2019|
|Place of Publication||Edmonton, Alberta, Canada|
|Number of pages||7|
|Publication status||Published - 2019|
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