JOURNAL ARTICLE

Tilings of the sphere by congruent quadrilaterals III: Edge combination a3b with general angles.

  • Published In: Forum Mathematicum, 2024, v. 36, n. 5. P. 1159 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Liao, Yixi; Qian, Pinren; Wang, Erxiao; Xu, Yingyun 3 of 3

Abstract

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 a 3 ⁢ b -quadrilaterals with some irrational angle: there are a sequence of 1-parameter families of quadrilaterals admitting 2-layer earth map tilings together with their basic flip modifications under extra condition, and 5 sporadic quadrilaterals each admitting a special tiling. A summary of the full classification is presented in the end. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Forum Mathematicum. 2024/09, Vol. 36, Issue 5, p1159
  • Document Type:Article
  • Subject Area:Science
  • Publication Date:2024
  • ISSN:0933-7741
  • DOI:10.1515/forum-2023-0209
  • Accession Number:179272156
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