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Recursion
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==In art== [[File:First matryoshka museum doll open.jpg|thumb|Recursive dolls: the original set of [[Matryoshka doll]]s by [[Vasily Zvyozdochkin|Zvyozdochkin]] and [[Sergey Malyutin|Malyutin]], 1892]] [[File:Giotto. The Stefaneschi Triptych (verso) c.1330 220x245cm. Pinacoteca, Vatican..jpg|thumb|left|Front face of [[Giotto]]'s ''[[Stefaneschi Triptych]]'', 1320, recursively contains an image of itself (held up by the kneeling figure in the central panel).]] {{See also|Mathematics and art|Infinity mirror}} The [[Matryoshka doll]] is a physical artistic example of the recursive concept.<ref>{{cite web |last1=Tang |first1=Daisy |title=Recursion |url=http://www.cpp.edu/~ftang/courses/CS240/lectures/recursion.htm |access-date=24 September 2015 |quote=More examples of recursion: Russian Matryoshka dolls. Each doll is made of solid wood or is hollow and contains another Matryoshka doll inside it.}}</ref> Recursion has been used in paintings since [[Giotto]]'s ''[[Stefaneschi Triptych]]'', made in 1320. Its central panel contains the kneeling figure of Cardinal Stefaneschi, holding up the triptych itself as an offering.<ref>{{cite web |title=Giotto di Bondone and assistants: Stefaneschi triptych |url=http://mv.vatican.va/3_EN/pages/PIN/PIN_Sala02_03.html |publisher=The Vatican |access-date=16 September 2015}}</ref><ref>{{Cite book |title=Physical (A)Causality: Determinism, Randomness and Uncaused Events |url=https://books.google.com/books?id=gxBMDwAAQBAJ&pg=PA12 |first=Karl |last=Svozil |year=2018 |publisher=Springer |pages=12| isbn=9783319708157 }}</ref> This practice is more generally known as the [[Droste effect]], an example of the [[Mise en abyme]] technique. [[M. C. Escher]]'s ''[[Print Gallery (M. C. Escher)|Print Gallery]]'' (1956) is a print which depicts a distorted city containing a gallery which [[recursive]]ly contains the picture, and so ''[[ad infinitum]]''.<ref>{{cite web |last1=Cooper |first1=Jonathan |title=Art and Mathematics |url=https://unwrappingart.com/art/art-and-mathematics/ |access-date=5 July 2020 |date=5 September 2007}}</ref> {{Clear}}
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