Editing Non-Euclidean geometry (section)

==Fiction==
Non-Euclidean geometry often makes appearances in works of [[science fiction]] and [[fantasy]].

* In 1895, [[H. G. Wells]] published the short story "The Remarkable Case of Davidson's Eyes". To appreciate this story one should know how [[antipodal points]] on a sphere are identified in a model of the elliptic plane. In the story, in the midst of a thunderstorm, Sidney Davidson sees "Waves and a remarkably neat schooner" while working in an electrical laboratory at Harlow Technical College. At the story's close, Davidson proves to have witnessed H.M.S. ''Fulmar'' off [[Antipodes Island]].
* Non-Euclidean geometry is sometimes connected with the influence of the 20th-century [[horror fiction]] writer [[H. P. Lovecraft]]. In his works, many unnatural things follow their own unique laws of geometry: in Lovecraft's [[Cthulhu Mythos]], the sunken city of [[R'lyeh]] is characterized by its non-Euclidean geometry. It is heavily implied this is achieved as a side effect of not following the natural laws of this universe rather than simply using an alternate geometric model, as the sheer innate wrongness of it is said to be capable of driving those who look upon it insane.<ref>{{cite web|title=The Call of Cthulhu|url=http://www.hplovecraft.com/writings/texts/fiction/cc.aspx}}</ref>
* The main character in [[Robert Pirsig]]'s ''[[Zen and the Art of Motorcycle Maintenance]]'' mentioned [[Riemannian geometry]] on multiple occasions.
* In ''[[The Brothers Karamazov]]'', Dostoevsky discusses non-Euclidean geometry through his character Ivan.
* Christopher Priest's novel ''[[Inverted World]]'' describes the struggle of living on a planet with the form of a rotating [[pseudosphere]].
* Robert Heinlein's ''[[The Number of the Beast (novel)|The Number of the Beast]]'' utilizes non-Euclidean geometry to explain instantaneous transport through space and time and between parallel and fictional universes.
* Zeno Rogue's ''[[HyperRogue]]'' is a [[roguelike]] game set on the [[hyperbolic plane]], allowing the player to experience many properties of this geometry. Many mechanics, quests, and locations are strongly dependent on the features of hyperbolic geometry.<ref>{{cite web|title=HyperRogue website|url=http://www.roguetemple.com/z/hyper/}}</ref>
* In the [[Renegade Legion]] [[science fiction]] setting for [[FASA]]'s [[Wargame (video games)|wargame]], [[role-playing-game]] and fiction, [[faster-than-light travel]] and communications is possible through the use of Hsieh Ho's Polydimensional Non-Euclidean Geometry, published sometime in the middle of the 22nd century.
* In [[Ian Stewart (mathematician)|Ian Stewart's]] ''[[Flatterland]]'' the [[protagonist]] Victoria Line visits all kinds of non-Euclidean worlds.