arXiv subjects

Ka Yue Cheuk

Publications and source records attributed to Ka Yue Cheuk.

2 recordsLinked to original sources

arXiv2018

Tilings of the Sphere by Congruent Pentagons I

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 degree 3 and the edge length combinations are three of the five possibilities.

math.MG↗

arXiv2013

Tilings of the Sphere by Edge Congruent Pentagons

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 neighborhood tilings and apply the technique to completely classify edge congruent earth map tilings.

math.MG↗