Home >> Seminar 

Tilings of the Sphere by Congruent Pentagons
Professor Min Yan(Hong Kong University of Science and Technology)
Monday, January 1st, 2018, 9:30 AM 华东师范大学 

摘要：
A lot is known about tiling of the plane. However, the study of spherical tilings is rather limited. A major result is the classi_cation of edgetoedge tilings of the sphere by congruent triangles that started by Sommerville in 1923 and completed by Ueno and Agaoka in 2002.
For an edgetoedge spherical tilings by congruent ngons, we must have n = 3; 4; 5. The case of the other extreme n = 5 should be relatively simpler than n = 4. We completely classify the minimal case of the dodecahedron tilings and further explore the combinatorial, edge length, and angle aspects for the next simplest cases.



