Editing Glide reflection (section)

== Examples and applications ==
Glide symmetry can be observed in nature among certain fossils of the [[Ediacara biota]]; the [[Machaeridia (annelid)|machaeridians]]; and certain [[palaeoscolecid]] worms.<ref>{{Cite journal | last1 = Waggoner | first1 = B. M.| title = Phylogenetic Hypotheses of the Relationships of Arthropods to Precambrian and Cambrian Problematic Fossil Taxa| jstor = 2413615| journal = Systematic Biology| volume = 45| issue = 2| pages = 190–222| year = 1996| doi = 10.2307/2413615| doi-access = free}}</ref>  It can also be seen in many extant groups of [[sea pen]]s.<ref>{{cite web|last1=Zubi|first1=Teresa|title=Octocorals (Stoloniferans, soft corals, sea fans, gorgonians, sea pens) - Starfish Photos - Achtstrahlige Korallen (Röhrenkorallen, Weichkorallen, Hornkoralllen, Seefedern, Fächerkorallen)|url=http://www.starfish.ch/c-invertebrates/octocorallia.html#Pennatulacea|website=starfish.ch|access-date=2016-09-08|date=2016-01-02|archive-date=2022-08-11|archive-url=https://web.archive.org/web/20220811220503/http://www.starfish.ch/c-invertebrates/octocorallia.html#Pennatulacea|url-status=live}}</ref>

In [[Conway's Game of Life]], a commonly occurring pattern called the [[Glider (Conway's Life)|glider]] is so named because it repeats its configuration of cells, shifted by a glide reflection, after two steps of the automaton. After four steps and two glide reflections, the pattern returns to its original orientation, shifted diagonally by one unit. Continuing in this way, it moves across the array of the game.<ref>{{cite conference
 | last = Wainwright | first = Robert T.
 | contribution = Life is universal!
 | doi = 10.1145/800290.811303
 | publisher = ACM Press
 | title = Proceedings of the 7th conference on Winter simulation - WSC '74
 | year = 1974| volume = 2
 | pages = 449–459
 | doi-access = free
 }}</ref>

In electrical engineering, if the graph of a periodic function also has glide symmetries, it is called "half-wave symmetric". This extra symmetry causes the fourier series of the function to only contain odd terms. Examples include the [[sine function]], [[square wave (waveform)|square wave]]s, and [[triangle wave]]s.