The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Tahun lepas, tanggapan baru tentang rep-cube telah dicadangkan. Kubus ulangan ialah poliomino yang merupakan jaring kubus, dan ia boleh dibahagikan kepada beberapa poliomin supaya setiap satu daripadanya boleh dilipat menjadi kubus. Tanggapan ini diilhamkan oleh tanggapan tentang poliomio and jubin replika, yang diperkenalkan oleh Solomon W. Golomb. Telah terbukti bahawa terdapat banyak tak terhingga rep-kiub yang berbeza. Dalam kertas ini, kami menyiasat tanggapan baharu ini dan menunjukkan hasil selanjutnya.
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
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Salinan
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
Salinan
@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},}
Salinan
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 -