Work

Polyominoes Folding into Four and Five Distinct Boxes

Year: 2026

Type: preprint

Abstract: We present new results on polyomino nets that fold into four or five distinct boxes. With the help of AI, we first found examples with areas 532 and 2128, respectively. We analyze these examples and reduce their areas to 178 and 358, respectively. We also generalize the construction of the five-box net and show that infinitely many polyomino nets fold into five distinct boxes.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2611.04246

Authors: Demaine, Erik D., Shirakawa, Toshihiro, Silverstein, Conner, Silverstein, Reed, Tardibuono, Michael, Uehara, Ryuhei

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225272433

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