2 papers
math.MG2022
Several problems on reduced spherical polygons of thickness less than π/2
Cen Liu, Yanxun Chang
The present paper aims to solve some problems proposed by Lassak about the reduced spherical polygons. The main result is to show that the regular spherical n-gon has the minimal p…
math.MG2020
The area of reduced spherical polygons
Cen Liu, Yanxun Chang, Zhanjun Su
We confirm two conjectures of Lassak on the area of reduced spherical polygons. The area of every reduced spherical non-regular -gon is less than that of the regular spherical $…