Abstract
AbstractWe apply Diophantine analysis to classify edge-to-edge tilings of the sphere by congruent almost equilateral quadrilaterals (i.e., edge combination $$a^3b$$
a
3
b
). Parallel to a complete classification by Cheung, Luk, and Yan, the method implemented here is more systematic and applicable to other related tiling problems. We also provide detailed geometric data for the tilings.
Funder
Li Po Chun Charitable Trust Fund
Publisher
Springer Science and Business Media LLC
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