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
Author information

2017 Volume 25 Pages 610-615


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.

Information related to the author
© 2017 by the Information Processing Society of Japan
Previous article Next article