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http://hdl.handle.net/10119/11480
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| Title: | Common Developments of Three Incongruent Orthogonal Boxes |
| Authors: | Shirakawa, Toshihiro
Uehara, Ryuhei |
| Keywords: | Common development
convex polyhedron |
| Issue Date: | 2013 |
| Publisher: | World Scientific Publishing |
| Magazine name: | International Journal of Computational Geometry and Applications |
| Volume: | 23 |
| Number: | 1 |
| Start page: | 65 |
| End page: | 71 |
| DOI: | 10.1142/S0218195913500040 |
| Abstract: | We investigate common developments that can fold into several incongruent orthogonal boxes. It was shown that there are infinitely many orthogonal polygons that fold into two incongruent orthogonal boxes in 2008. In 2011, it was shown that there exists an orthogonal polygon that folds into three boxes of size 1 × 1 × 5, 1 × 2 × 3, and 0 × 1 × 11. However it remained open whether there exists an orthogonal polygon that folds into three boxes of positive volume. We give an affirmative answer to this open problem. We show how to construct an infinite number of orthogonal polygons that fold into three incongruent orthogonal boxes. |
| Rights: | Electronic version of an article published as International Journal of Computational Geometry and Applications, 23(1), 2013, 65-71. DOI:10.1142/S0218195913500040. Copyright World Scientific Publishing Company, http://dx.doi.org/10.1142/S0218195913500040 |
| URI: | http://hdl.handle.net/10119/11480 |
| Material Type: | author |
| Appears in Collections: | b10-1. 雑誌掲載論文 (Journal Articles)
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