### Definition of Horosphere

1. Noun. An $n-1$-dimensional hyperplane in hyperbolic $n$-dimensional space: it is (in the Poincaré disk) Euclidean-tangent at infinity to the boundary sphere or (in the upper-half-space model) Euclidean-parallel to the boundary hyperplane. ¹

¹ Source: wiktionary.com

### Horosphere Pictures

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### Lexicographical Neighbors of Horosphere

 horometrieshorometryhorophilehorophileshoropterhoropterichoroptershoroscopehoroscoperhoroscopers horoscopeshoroscopieshoroscopisthoroscopistshoroscopyhorosphere (current term)horosphereshorosphericalhorrendoushorrendously horrenthorriblehorriblenesshorriblenesseshorribleshorriblyhorridhorriderhorridesthorridly