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Siteswap: Difference between revisions

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→‎Swap property: Swap property converts sequences between the same types
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*"...Bruce Tiemann (Boppo) and the late Bengt Magnusson....Other contributors to the development of site swap theory include Jack Boyce, Allen Knutson, Ed Carstens, and jugglers on the computer network."<ref name="Lewbel">Lewbel, Arthur (1996). "[http://www.juggle.org/history/archives/jugmags/49-2/v49no2-page%2057.htm The Academic Juggler: The Invention Of Juggling Notations] {{webarchive|url=https://web.archive.org/web/20140714182339/http://www.juggle.org/history/archives/jugmags/49-2/v49no2-page%2057.htm |date=July 14, 2014 }}", ''Juggle.org''.</ref>
*"Jack Boyce (also at Caltech) came up with the juggling state model to explain the phenomenon of excited-state tricks."<ref name="FAQ"/>
*"To give credit where it is due, the notation as presented here was independently (and previously) invented by Paul Klimek, with whom we have had helpful discussions."<ref name="T&M"/>}} The numbers derive from the number of balls used in the most common juggling patterns. Siteswap has been described as, "perhaps the most popular" name.<ref name="Sethares">{{Cite book|title=Rhythm and Transforms|url=https://archive.org/details/rhythmtransforms00seth_415|url-access=limited|last=Sethares|first=William Arthur|author-link=William Sethares|date=2007|publisher=[[Springer Publishing|Springer]]|isbn=9781846286407|oclc=261225487|page=[https://archive.org/details/rhythmtransforms00seth_415/page/n52 40]}}</ref>
 
The name ''siteswap'' comes from the ability to generate patterns by "swapping" landing times of any 2 throws in a siteswap using the {{Pslink|swap property|}}.{{Citation needed|date=May 2020}} For example, swapping the landing times of throws "5" and "1" in the siteswap "51" generates the siteswap "24".