Journal of Information Processing
Online ISSN : 1882-6652
ISSN-L : 1882-6652
Unfolding and Dissection of Multiple Cubes, Tetrahedra, and Doubly Covered Squares
Zachary AbelBrad BallingerErik D. DemaineMartin L. DemaineJeff EricksonAdam HesterbergHiro ItoIrina KostitsynaJayson LynchRyuhei Uehara
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JOURNAL FREE ACCESS

2017 Volume 25 Pages 610-615

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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.

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© 2017 by the Information Processing Society of Japan
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