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Tilings of the Sphere by Congruent Quadrilaterals I:Edge Combination a^(2)bc
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作者 Yixi LIAO Pinren QIAN +1 位作者 Erxiao WANG yingyun xu 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2024年第5期733-766,共34页
Edge-to-edge tilings of the sphere by congruent a^(2)bc-quadrilaterals are classified as 3 classes:(1)A 1-parameter family of quadrilateral subdivisions of the octahedron with24 tiles,and a flip modification for one s... Edge-to-edge tilings of the sphere by congruent a^(2)bc-quadrilaterals are classified as 3 classes:(1)A 1-parameter family of quadrilateral subdivisions of the octahedron with24 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. 展开更多
关键词 Spherical tiling QUADRILATERAL Classification Earth map tiling SUBDIVISION
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