| タイトル | Minimum polyhedron with n vertices |
| 著者（日） | 秋山, 茂樹 |
| 著者（英） | Akiyama, Shigeki |
| 著者所属（日） | 筑波大学 |
| 著者所属（英） | University of Tsukuba |
| 発行日 | 2021-07 |
| 発行機関など | Mathematics Program, Graduate School of Advanced Science and Engineering, Hiroshima University
広島大学大学院先進理工系科学研究科数学プログラム |
| 刊行物名 | Hiroshima mathematical journal |
| 巻 | 51 |
| 号 | 2 |
| 開始ページ | 111 |
| 終了ページ | 137 |
| 刊行年月日 | 2021-07 |
| 言語 | eng |
| 抄録 | We study a polyhedron with n vertices of fixed volume having the minimum surface area. Completing the proof of Fejes Toth, we show that all faces of a minimum polyhedron are triangles, and further prove that a minimum polyhedron does not allow deformation of a single vertex. We also present possible minimum shapes for n less than or equal to 12. Some of them are quite unexpected, in particular n = 8 . |
| 内容記述 | Physical characteristics: Original contains illustrations
形態: 図版あり |
| 資料種別 | Journal Article |
| NASA分類 | Theoretical Mathematics |
| ISSN | 0018-2079 |
| NCID | AA00664323 |
| SHI-NO | AA2140359001 |
| URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/1076984 |
|
