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math.NT2026
Reduction of integer tiles via CRT and base-p digits
Chunlin Li, Jie Wu, Wenchuan Hu +3
Coven and Meyerowitz gave two cyclotomic conditions, (T1) and (T2), which characterize integer tiles whose cardinalities have at most two distinct prime factors. We prove that the…
math.CO2026
Tiling of Hyperbolic Surface by a Single Tile
Chunlin Li, Erxiao Wang, Jie Wu +1
Tilings of a surface of negative Euler characteristic by n-gons with n\ge 7 is a finite problem. One extreme of the finite problem is single tile tilings. We develop the algorithm…