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Rep-Cubes: Dissection of a Cube into Nets
Dawei XU Jinfeng HUANG Yuta NAKANE Tomoo YOKOYAMA Takashi HORIYAMA Ryuhei UEHARA
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2018/09/01
Online ISSN: 1745-1337
Type of Manuscript: Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
cube, net, polyomino, pythagorean triple, rep-cube, rep-tile,
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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.