6 citations · 10 across the 7 of their papers we have counts for
7 papers
Dihedral Tilings of the Sphere by Regular Polygons and Quadrilaterals II: Regular Polygons with High Gonality and Rhombi
Ho Man Cheung, Hoi Ping Luk
We classify the dihedral edge-to-edge tilings of the sphere by regular polygons with gonality at least 5 and rhombi.
Rational Angles and Tilings of the Sphere by Congruent Quadrilaterals
Ho Man Cheung, Hoi Ping Luk
We apply Diophantine analysis to classify edge-to-edge tilings of the sphere by congruent almost equilateral quadrilaterals (i.e., edge combination a3b). Parallel to a complete cla…
Tilings of the Sphere by Congruent Quadrilaterals or Triangles
Ho Man Cheung, Hoi Ping Luk, Min Yan
We completely classify edge-to-edge tilings of the sphere by congruent quadrilaterals. As part of the classification, we also present a modern version of the classification of edge…
Tilings of the Sphere by Congruent Quadrilaterals with Exactly Two Equal Edges
Ho Man Cheung, Hoi Ping Luk
In this paper we give a classification of tilings of the sphere by congruent quadrilaterals with exactly two equal edges. The tilings are the earth map tilings, -earth map t…
Geometric and algebraic parameterizations for Dirac cohomology of simple modules in and their applications
Ho-Man Cheung
In this paper, we show that the Dirac cohomology of a simple highest weight module in can be parameterized by a specific set of weig…
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…
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…