Content deleted Content added
Elad shimoni (talk | contribs) |
slide property language |
||
(4 intermediate revisions by 3 users not shown) | |||
Line 5:
[[File:Siteswap relative visualized.png|thumb|Siteswap beats shown as relative height<ref>{{Cite news|last=Donahue|first=Bill|date=December 3, 2004|title=The Mathematics of... Juggling|work=[[Discover Magazine]]|url=http://discovermagazine.com/2004/dec/mathematics-of-juggling|access-date=June 30, 2017}}</ref><ref name="T&M">Tiemann, Bruce and Magnusson, Bengt (1991). "[https://web.archive.org/web/20120612161501/https://www.juggle.org/history/archives/jugmags/43-2/43-2,p31.htm A Notation for Juggling Tricks, A LOT of Juggling Tricks]", ''Juggle.org''. Accessed July 8, 2014. [https://www.juggle.org/history/archives/jugmags/43-2/43-2,p31.htm original url]</ref>]]
'''Siteswap''', also called '''quantum juggling''' or the '''Cambridge notation''', is a numeric [[juggling notation]] used to describe or represent [[juggling pattern]]s. The term may also be used to describe '''siteswap patterns''', possible patterns transcribed using siteswap. Throws are represented by [[non-negative integers]] that specify the number of beats in the future when the object is thrown again: "The idea behind siteswap is to keep track of the order that balls are thrown and caught, and only that."<ref name="FAQ">{{Cite web|url=http://www.juggling.org/help/siteswap/faq.html|title=Siteswap FAQ|last=Knutson|first=Allen|website=[[Juggling Information Service|Juggling.org]]|access-date=June 30, 2017}}</ref> It is an invaluable tool in determining which combinations of throws yield valid juggling patterns for a given number of objects, and has led to previously unknown patterns (such as 441). However, it does not describe body movements such as behind-the-back and under-the-leg. Siteswap assumes that "throws happen on [[beat (music)|beats]] that are equally spaced in time."<ref name="B&L">{{Cite
For example, a three-ball [[Cascade (juggling)|cascade]] may be notated "3 ", while a [[shower (juggling)|shower]] may be notated "5 1".<ref name="B&L"/>
Line 218:
=== Slide property ===
A valid synchronous sequence can be converted to a valid asynchronous sequence and vice versa using the slide property. Given the synchronous sequence <math>(a_0,a_1)(a_2,a_3)...(a_{n-2},a_{n-1})</math>,
=== Prime patterns ===
Line 285 ⟶ 283:
*{{webarchive |url=https://web.archive.org/web/20030806094612/http://pweb.netcom.com/~hjsmith/Juggler.html |date=August 6, 2003 |title=Smith, H.J. "Juggler Numbers" }}
*{{cite web|last1=Wright|first1=Colin|title=Juggling by Numbers|url=https://www.youtube.com/watch?v=7dwgusHjA0Y&t=17s|website=YouTube|publisher=[[Brady Haran]]|accessdate=4 October 2017|format=video}}
{{Juggling}}
|