IEICE TRANSACTIONS on Fundamentals
Rep-Cubes: Dissection of a Cube into Nets
Summary :
Last year, a new notion of rep-cube was proposed. 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 inspired by the notions of polyomino and rep-tile, which were introduced by Solomon W. Golomb. It was proved that there are infinitely many distinct rep-cubes. In this paper, we investigate this new notion and show further results.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E101-A No.9 pp.1420-1430
- Publication Date
- 2018/09/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E101.A.1420
- Type of Manuscript
- Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
- Category
Authors
Dawei XU
JAIST
Jinfeng HUANG
JAIST
Yuta NAKANE
Nagoya Institute of Technology
Tomoo YOKOYAMA
Kyoto University of Education
Takashi HORIYAMA
Saitama University
Ryuhei UEHARA
JAIST
Keyword
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Dawei XU, Jinfeng HUANG, Yuta NAKANE, Tomoo YOKOYAMA, Takashi HORIYAMA, Ryuhei UEHARA, "Rep-Cubes: Dissection of a Cube into Nets" in IEICE TRANSACTIONS on Fundamentals,
vol. E101-A, no. 9, pp. 1420-1430, September 2018, doi: 10.1587/transfun.E101.A.1420.
Abstract: Last year, a new notion of rep-cube was proposed. 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 inspired by the notions of polyomino and rep-tile, which were introduced by Solomon W. Golomb. It was proved that there are infinitely many distinct rep-cubes. In this paper, we investigate this new notion and show further results.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E101.A.1420/_p
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@ARTICLE{e101-a_9_1420,
author={Dawei XU, Jinfeng HUANG, Yuta NAKANE, Tomoo YOKOYAMA, Takashi HORIYAMA, Ryuhei UEHARA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Rep-Cubes: Dissection of a Cube into Nets},
year={2018},
volume={E101-A},
number={9},
pages={1420-1430},
abstract={Last year, a new notion of rep-cube was proposed. 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 inspired by the notions of polyomino and rep-tile, which were introduced by Solomon W. Golomb. It was proved that there are infinitely many distinct rep-cubes. In this paper, we investigate this new notion and show further results.},
keywords={},
doi={10.1587/transfun.E101.A.1420},
ISSN={1745-1337},
month={September},}
Copy
TY - JOUR
TI - Rep-Cubes: Dissection of a Cube into Nets
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1420
EP - 1430
AU - Dawei XU
AU - Jinfeng HUANG
AU - Yuta NAKANE
AU - Tomoo YOKOYAMA
AU - Takashi HORIYAMA
AU - Ryuhei UEHARA
PY - 2018
DO - 10.1587/transfun.E101.A.1420
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E101-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2018
AB - Last year, a new notion of rep-cube was proposed. 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 inspired by the notions of polyomino and rep-tile, which were introduced by Solomon W. Golomb. It was proved that there are infinitely many distinct rep-cubes. In this paper, we investigate this new notion and show further results.
ER -
English
