show · belyi.geometry_type all knowls · up · search:

A Belyi map corresponds to a finite index subgroup of a triangle group $\Delta(a,b,c)$. The geometry type of a Belyi map is spherical, Euclidean, or hyperbolic according to $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}$ being $>1$, $=1$, or $<1$, respectively.

Knowl status:
  • Review status: reviewed
  • Last edited by John Jones on 2023-08-15 17:51:10
Referred to by:
History: (expand/hide all) Differences (show/hide)