The hyperbolic polygons of type (ϵ, n) and Möbius transformations
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...
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2020-03-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2020-0015 |
| Summary: | 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 |
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| ISSN: | 2391-5455 |