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
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 dicipta pada tahun 2017, yang diilhamkan oleh tanggapan poliomino dan reptilia, yang diperkenalkan oleh Solomon W. Golomb. Kubus ulangan dipanggil sekata jika ia boleh dibahagikan kepada jaring kawasan yang sama. Kiub ulangan biasa adalah teratur k jika ia dibahagikan kepada k jaring. Lebih-lebih lagi, ia dipanggil seragam jika ia boleh dibahagikan kepada jaring yang kongruen. Dalam kertas ini, kami memberi tumpuan kepada kiub rep khas ini dan menyelesaikan beberapa masalah terbuka.
Tamami OKADA
Japan Advanced Institute of Science and Technology (JAIST)
Ryuhei UEHARA
Japan Advanced Institute of Science and Technology (JAIST)
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Salinan
Tamami OKADA, Ryuhei UEHARA, "Research on Dissections of a Net of a Cube into Nets of Cubes" in IEICE TRANSACTIONS on Information,
vol. E105-D, no. 3, pp. 459-465, March 2022, doi: 10.1587/transinf.2021FCP0004.
Abstract: 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.
URL: https://global.ieice.org/en_transactions/information/10.1587/transinf.2021FCP0004/_p
Salinan
@ARTICLE{e105-d_3_459,
author={Tamami OKADA, Ryuhei UEHARA, },
journal={IEICE TRANSACTIONS on Information},
title={Research on Dissections of a Net of a Cube into Nets of Cubes},
year={2022},
volume={E105-D},
number={3},
pages={459-465},
abstract={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.},
keywords={},
doi={10.1587/transinf.2021FCP0004},
ISSN={1745-1361},
month={March},}
Salinan
TY - JOUR
TI - Research on Dissections of a Net of a Cube into Nets of Cubes
T2 - IEICE TRANSACTIONS on Information
SP - 459
EP - 465
AU - Tamami OKADA
AU - Ryuhei UEHARA
PY - 2022
DO - 10.1587/transinf.2021FCP0004
JO - IEICE TRANSACTIONS on Information
SN - 1745-1361
VL - E105-D
IS - 3
JA - IEICE TRANSACTIONS on Information
Y1 - March 2022
AB - 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.
ER -