8 citations · 29 across the 22 of their papers we have counts for
10 papers · 1 filter
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…
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…
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…
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…
Tilings of Flat Tori by Congruent Hexagons
Xinlu Yu, Erxiao Wang, Min Yan
Convex hexagons that can tile the plane have been classified into three types. For the generic cases (not necessarily convex) of the three types and two other special cases, we cla…
Tilings of the sphere by congruent quadrilaterals III: edge combination with general angles
Yixi Liao, Pinren Qian, Erxiao Wang +1
Edge-to-edge tilings of the sphere by congruent quadrilaterals are completely classified in a series of three papers. This last one classifies the case of -quadrilaterals wit…
Tilings of the sphere by congruent quadrilaterals II: edge combination with rational angles
Yixi Liao, Erxiao Wang
Edge-to-edge tilings of the sphere by congruent quadrilaterals are completely classified in a series of three papers. This second one applies the powerful tool of trigonometric Dio…
Tilings of the sphere by congruent quadrilaterals I: edge combination
Yixi Liao, Pinren Qian, Erxiao Wang +1
The edge-to-edge tilings of the sphere by congruent quadrilaterals of Type are classified as classes: a sequence of two-parameter families of -layer earth map tiling…
Moduli Spaces of Pentagonal Subdivision Tilings
Jinjin Liang, Erxiao Wang, Min Yan
Pentagonal subdivision gives three families of edge-to-edge tilings of the sphere by congruent pentagons. Each family forms a two dimensional moduli. We describe the moduli in deta…
Tilings of the Sphere by Congruent Pentagons III: Edge Combination
Yohji Akama, Erxiao Wang, Min Yan
There are exactly eight edge-to-edge tilings of the sphere by congruent equilateral pentagons: three pentagonal subdivision tilings with 12, 24, 60 tiles; four earth map tilings wi…