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Rep-Cubes: Dissection of a Cube into Nets

Dawei XU, Jinfeng HUANG, Yuta NAKANE, Tomoo YOKOYAMA, Takashi HORIYAMA, Ryuhei UEHARA

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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

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