2025/12/22 by Liang, Jinjin, Liao, Yixi, Wang, Erxiao
#05B45 #11R18 #11Y50 #14Q25 #52C20 #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.2512.19071
By computing all cyclotomic points on some algebraic varieties, we get an independent and efficient way to find all rational a3b-monotiles for the sphere, thereby completing the classification of edge-to-edge monohedral quadrilateral tilings. Both of the previous classifications \citelw2 and \citecl depended on many old works of different authors while quite a few typos and gaps were found.