Polygons Folding to Plural Incongruent Orthogonal Boxes

We investigate the problem of finding orthogonal polygons that fold to plural incongruent orthogonal boxes. There are two known polygons that fold to produce two incongruent orthogonal boxes. In this paper, we show that there are infinite such polygons. We also show that there exists a tile that produces two incongruent orthogonal boxes.

• Type: Conference
• Year: 2008
• Where: CCCG
• Authors: Ryuhei Uehara
• Keywords: CCCG 2008, Computational Geometry, Incongruent Orthogonal Boxes, Known Polygons, Orthogonal Polygons