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Please use this identifier to cite or link to this item: http://hdl.handle.net/10119/15058

Title: Unfolding and Dissection of Multiple Cubes, Tetrahedra, and Doubly Covered Squares
Authors: Abel, Zach
Ballinger, Brad
D. Demaine, Erik
L. Demaine, Martin
Erickson, Jeff
Hesterberg, Adam
Ito, Hiro
Kostitsyna, Irina
Lynch, Jayson
Uehara, Ryuhei
Keywords: dissection
folding and unfolding
Issue Date: 2017
Publisher: Information Processing Society of Japan
Magazine name: Journal of Information Processing
Volume: 25
Start page: 610
End page: 615
DOI: 10.2197/ipsjjip.25.610
Abstract: In this paper, we introduce the notion of “rep-cube”: a net of a cube that can be divided into multiple polygons, each of which can be folded into a cube. This notion is inspired by the notion of polyomino and rep-tile; both are introduced by Solomon W. Golomb, and well investigated in the recreational mathematics society. We prove that there are infinitely many distinct rep-cubes. We also extend this notion to doubly covered squares and regular tetrahedra.
Rights: 社団法人 情報処理学会, Zach Abel, Brad Ballinger, Erik D. Demaine, Martin L. Demaine, Jeff Erickson, Adam Hesterberg, Hiro Ito, Irina Kostitsyna, Jayson Lynch, and Ryuhei Uehara, Journal of Information Processing, 25, 2017, 610-615. ここに掲載した著作物の利用に関する注意: 本著作物の著作権は(社)情報処理学会に帰属します。本著作物は著作権者である情報処理学会の許可のもとに掲載するものです。ご利用に当たっては「著作権法」ならびに「情報処理学会倫理綱領」に従うことをお願いいたします。 Notice for the use of this material: The copyright of this material is retained by the Information Processing Society of Japan (IPSJ). This material is published on this web site with the agreement of the author (s) and the IPSJ. Please be complied with Copyright Law of Japan and the Code of Ethics of the IPSJ if any users wish to reproduce, make derivative work, distribute or make available to the public any part or whole thereof. All Rights Reserved, Copyright (C) Information Processing Society of Japan.
URI: http://hdl.handle.net/10119/15058
Material Type: publisher
Appears in Collections:b10-1. 雑誌掲載論文 (Journal Articles)

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