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The mathematical theory of juggling
Búzik, Michal ; Slavík, Antonín (advisor) ; Karger, Adolf (referee)
Title: The mathematical theory of juggling Author: Michal Búzik Department: Department of Mathematics Education Supervisor: RNDr. Antonín Slavík, Ph.D. Abstract: This bachelor thesis is concerned with methods of mathematical descrip- tion of juggling. The main part deals with notation of simulation of throwing balls using integer sequences, so-called siteswaps. It indicates generating, mutual relations and ways of graphic interpretation of these sequences in diagrams. Summarized re- sults with generalization of all possible calculations of juggling sequences according to restrictive aspects are provided in this thesis. Beside usage of combinatorics and graph theory, there are also relations between juggling and braid theory, and change ringing interpreted. Keywords: juggling, sequence, siteswap
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Juggling Patterns Visualization
Jašek, Roman ; Maršík, Lukáš (referee) ; Kajan, Rudolf (advisor)
This thesis deals with the known possibilities according to the 3D visualization of juggling patterns. It presents some of the libraries that may be used for this issue and the whole concept of juggling patterns and their notation. In the next part there is an analysis of existing software dealing with juggling patterns visualization. A chapter about designing and implementing graphical user interface follows. The next part contains a predesign of the applicatin itself using XNA framework. The last part of the thesis is aimed at creating an online page presenting the program using Microsoft Silverlight.
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