|
|
| |
| Tilings of the Sphere by Congruent Quadrilaterals I:Edge Combination a2bc |
| |
Citation： |
Yixi LIAO,Pinren QIAN,Erxiao WANG,Yingyun XU.Tilings of the Sphere by Congruent Quadrilaterals I:Edge Combination a2bc[J].Chinese Annals of Mathematics B,2024,45(5):733~766 |
| Page view： 76
Net amount： 46 |
Authors： |
Yixi LIAO; Pinren QIAN;Erxiao WANG;Yingyun XU |
Foundation： |
the Key Projects of Zhejiang Natural Science Foundation
(No. LZ22A010003) and ZJNU Shuang-Long Distinguished Professorship Fund (No. YS304319159) |
|
|
| Abstract： |
Edge-to-edge tilings of the sphere by congruent a2bc-quadrilaterals are classified
as 3 classes: (1) A 1-parameter family of quadrilateral subdivisions of the octahedron with
24 tiles, and a flip modification for one special parameter; (2) a 2-parameter family of 2-
layer earth map tilings with 2n tiles for each n ≥ 3; (3) a 3-layer earth map tiling with 8n
tiles for each n ≥ 2, and two flip modifications for each odd n. The authors also describe
the moduli of parameterized tilings and provide the full geometric data for all tilings. |
Keywords： |
Spherical tiling, Quadrilateral, Classification, Earth map tiling, Subdivision |
Classification： |
52C20, 05B45 |
|
|
Download PDF Full-Text
|
|
|
|
