Braids and juggling patterns
Auteurs : Macauley, Matthew (Auteur)
Lieu de publication : Claremont, Californie
Éditeur : Harvey Mudd College
Date de publication : 2003
Langue : Anglais
Description : 58 p. ; 28 cm.
Sujets :
Jonglerie - Recherche
Analyse mathématique
Jonglerie - Aspect physiologique
Dépouillement du document :
1- Introduction
2- Siteswap Notation
3- Symmetric Groups
3.1 Siteswap Permutations
3.2 Interesting Questions
4- Stack Notation
5- Profile Braids
5.1 Polya theory
5.2 Interesting Questions
6- Braids and Juggling
6.1 The Braid Group
6.2 Braids of Juggling Patterns
6.3 Counting Jugglable Braids
6.4 Determining Unbraids
6.4.1 Setting the crossing numbers to zero.
6.4.2 The complete system of equations
6.4.3 Simplifying the equations
6.5 Adding More Balls
6.6 Interesting Questions
Résumé :
There are several ways to describe juggling patterns mathematically using combinatorics and algebra. In my thesis I use these ideas to build a new system using braid groups. A new kind of graph arises that helps describe all braids that can be juggled. [author summary]
Collection : Bibliothèque de l'École nationale de cirque
Localisation : Bibliothèque
Cote : 793.870 15 M1176b 2003