4 papers
Tiling of Hyperbolic Surface by Multiple Tiles
Chunlin Li, Erxiao Wang, Wu Jie +1
Tilings of a surface of negative Euler characteristic by n-gons with n\ge 7 is a finite problem. We develop the algorithm for finding all the tilings for fixed number of tiles and…
Hexagonal Tiling of the Plane
Ze Zhu, Erxiao Wang, Min Yan
Since the thesis of K. Reinhardt in 1918, it is well known that there are exactly three types of convex hexagons that can tile the plane. However, the proof of the fact is far from…
Tiling of Hyperbolic Surface by a Single Tile
Chunlin Li, Erxiao Wang, Jie Wu +1
Tilings of a surface of negative Euler characteristic by n-gons with n\ge 7 is a finite problem. One extreme of the finite problem is single tile tilings. We develop the algorithm…
Side-to-side Tiling of the Sphere by Congruent Curvilinear Triangles
Keyi Jin, Linming Lu, Erxiao Wang +2
The edge-to-edge tilings of the sphere by congruent polygons, where all edges are straight, have been completely classified. We classify the curvilinear version of the similar tria…