Editing Polyhedron (section)

=== Ideal polyhedron ===
{{main article|Ideal polyhedron}} 
Convex polyhedra can be defined in three-dimensional [[hyperbolic space]] in the same way as in Euclidean space, as the [[convex hull]]s of finite sets of points. However, in hyperbolic space, it is also possible to consider [[ideal point]]s and the points within the space. An [[ideal polyhedron]] is the convex hull of a finite set of ideal points.<ref name=thurston>{{citation
 | last = Thurston | first = William P. | authorlink = William Thurston
 | isbn = 0-691-08304-5
 | mr = 1435975
 | publisher = Princeton University Press, Princeton, NJ
 | series = Princeton Mathematical Series
 | title = Three-dimensional geometry and topology. Vol. 1
 | volume = 35
 | year = 1997
 | page = 128
 | url = https://books.google.com/books?id=9kkuP3lsEFQC&pg=PA128
}}</ref> Its faces are ideal polygons, but its edges are defined by entire hyperbolic lines rather than line segments, and its vertices (the ideal points of which it is the convex hull) do not lie within the hyperbolic space.