Abstract | ||
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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 |
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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 Akiyama | 1 | 10 | 3.25 |
Kiyoko Matsunaga | 2 | 4 | 1.26 |