The Mathematics of Juggling
Springer Science & Business Media, 31.10.2002 - 226 Seiten
Learn to juggle numbers! This book is the first comprehensive account of the mathematical techniques and results used in the modelling of juggling patterns. This includes all known and many new results about juggling sequences and matrices, the mathematical skeletons of juggling patterns. Many useful and entertaining tips and tricks spice up the mathematical menu presented in this book. There are detailed descriptions of jugglable and attractive juggling sequences, easy zero-gravity juggling, robot juggling, as well as fun juggling of words, anti-balls, and irrational numbers. The book also includes novel, or at least not very well known connections with topics such as bell ringing, knot theory, and the many body problem. In fact, the chapter on mathematical bell ringing has been expanded into the most comprehensive survey in the literature of the mathematics used by bell ringers. Accessible at all levels of mathematical sophistication, this is a book for mathematically wired jugglers, mathematical bell ringers, combinatorists, mathematics educators, and just about anybody interested in beautiful and unusual applications of mathematics.
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tits of Multiplex Juggling Sequences
ing Matrices 85
ematical Notation and Basic Operations
hical Representations of Extents
its from Groups
nuters Bobs and Singles
ing and Math Stories
ing Made Easy
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2-throw 3-ball cascade 4-bell extent 6-ball juggling sequences 6-ball multiplex 6-ball state graph 6-bell ringing sequence auxiliary array basic beat points braid cascade juggled causal diagrams Cayley graph change ringing Claude Shannon complement construct contains corresponding coset cyclic shifts diagram in Figure edges elements entries exactly example finite sequence gling graph of height ground-state h hands Hamiltonian cycles height h Information Service 62 integers jugglable Juggler's World jugglers juggling diagram Juggling Information Service juggling matrices juggling patterns Kaskade label ling mathematical matrix maximal prime loop multihand multiplex juggling sequence multiplex state graph n-body problem necklace no-call nonnegative integers number of balls orbits perform permutation Plain Bob plain course problem result Reverse ringing array robot Ronald Graham sequences of period Shannon's simple juggling sequences solutions stereograms swap symmetric group test vector Theorem throw/antithrow throws toss juggling transition sequence tricks uggling uniform juggling vertex vertices