The hyperbolic polygons of type (ϵ, n) and Möbius transformations

Abstract

An n-sided hyperbolic polygon of type (ϵ, n) is a hyperbolic polygon with ordered interior angles π2$\begin{array}{} \frac{\pi}{2} \end{array} $ + ϵ, θ1, θ2, …, θn−2, π2$\begin{array}{} \frac{\pi}{2} \end{array} $ − ϵ, where 0 < ϵ < π2$\begin{array}{} \frac{\pi}{2} \end{array} $ and 0 < θi < π satisfying

Keywords

• conformal mapping
• möbius transformations
• hyperbolic polygons
• 30c20
• 30c35
• 30f45
• 51m10
• 51m15