Rep-cube: Research on dissections of a net of a cube into nets of cubes

• Item type: SIG Technical Reports(1)
• 公開日: 2021-03-10
• タイトル: Rep-cube: Research on dissections of a net of a cube into nets of cubes
• タイトル / 言語: en
• タイトル: Rep-cube: Research on dissections of a net of a cube into nets of cubes
• 言語: eng
• 資源タイプ / 資源タイプ識別子: http://purl.org/coar/resource_type/c_18gh
• 資源タイプ: technical report
• 著者所属: Japan Advanced Institute of Science and Technology
• 著者所属: Japan Advanced Institute of Science and Technology
• 著者所属(英): en
• 著者所属(英): Japan Advanced Institute of Science and Technology
• 著者所属(英): en
• 著者所属(英): Japan Advanced Institute of Science and Technology
• 著者名: Tamami, Okada; Ryuhei, Uehara
• 著者名(英): Tamami, Okada; Ryuhei, Uehara
• 論文抄録 / 内容記述タイプ: Other
• 論文抄録 / 内容記述: A rep-cube is a polyomino that is a net of a cube, and it can be divided into some polyominoes such that each of them can be folded into a cube. This notion was invented in 2017, which is inspired by the notions of polyomino and rep-tile, which were introduced by Solomon W. Golomb. A rep-cube is called regular if it can be divided into the nets of the same area. A regular rep-cube is of order k if it is divided into k nets. Moreover, it is called uniform if it can be divided into the congruent nets. In this paper, we focus on these special rep-cubes and solve several open problems.
• 論文抄録(英) / 内容記述タイプ: Other
• 論文抄録(英) / 内容記述: A rep-cube is a polyomino that is a net of a cube, and it can be divided into some polyominoes such that each of them can be folded into a cube. This notion was invented in 2017, which is inspired by the notions of polyomino and rep-tile, which were introduced by Solomon W. Golomb. A rep-cube is called regular if it can be divided into the nets of the same area. A regular rep-cube is of order k if it is divided into k nets. Moreover, it is called uniform if it can be divided into the congruent nets. In this paper, we focus on these special rep-cubes and solve several open problems.
• 書誌レコードID / 収録物識別子タイプ: NCID
• 書誌レコードID / 収録物識別子: AN1009593X
• 書誌情報: 研究報告アルゴリズム（AL）; 巻 2021-AL-182, 号 2, p. 1-6, 発行日 2021-03-10
• ISSN / 収録物識別子タイプ: ISSN
• ISSN / 収録物識別子: 2188-8566
• Notice: SIG Technical Reports are nonrefereed and hence may later appear in any journals, conferences, symposia, etc.
• 出版者 / 言語: ja
• 出版者: 情報処理学会