Title
Reversibility and foldability of Conway tiles.
Abstract
In this paper, we proved that an arbitrary Conway tile is reversible to another Conway tile. We also determine all reversible pairs of figures, both of which tile the plane. Then we prove that the set of all nets of an isotetrahedron is closed under some reversible operation. Finally, we prove that a regular Conway tile is foldable into an isotetrahedron.
Year
DOI
Venue
2017
10.1016/j.comgeo.2017.03.003
Computational Geometry
Keywords
Field
DocType
Reversibility,Equi-rotational,Foldability,Conway tiles,Strong tessellability
Discrete mathematics,Combinatorics,Tile,Mathematics
Journal
Volume
ISSN
Citations 
64
0925-7721
1
PageRank 
References 
Authors
0.41
4
2
Name
Order
Citations
PageRank
Jin Akiyama1103.25
Kiyoko Matsunaga241.26