24 citations · 58 across the 15 of their papers we have counts for
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math.MG2013★ 4 cited
Tilings of the Sphere by Congruent Pentagons I
Ka Yue Cheuk, Ho Man Cheung, Min Yan
We show that there are no edge-to-edge tilings of the sphere by congruent pentagons beyond the minimal dodecahedron tiling, such that there is a tile with all vertices having degre…
math.MG2013★ 4 cited
Edge-to-edge Tilings of the Sphere by Angle Congruent Pentagons
Hoi Ping Luk, Min Yan
We develop a systematic method for computing the angle combinations at all vertices in an edge-to-edge tiling of the sphere by pentagons with the same five angles. The method is a…
math.MG2013★ 6 cited
Tilings of the Sphere by Edge Congruent Pentagons
Ka Yue Cheuk, Ho Man Cheung, Min Yan
We study edge-to-edge tilings of the sphere by edge congruent pentagons, under the assumption that there are tiles with all vertices having degree 3. We develop the technique of ne…