2 papers
math.CO2025
Tiling the Sphere with Regular Polygons
Hoi Ping Luk, Roman Nedela, Christopher Purcell
We give a complete classification of edge-to-edge tilings of the sphere by regular polygons under a unified framework. Without assuming convexity of the tiles or polyhedrality of t…
math.GT2000
2-symmetric transformations for 3-manifolds of genus two
Luigi Grasselli, Michele Mulazzani, Roman Nedela
As previously known, all 3-manifolds of genus two can be represented by edge-coloured graphs uniquely defined by 6-tuples of integers satisfying simple conditions. The present pape…