>>>> GEOMETRY, COMPUTING AND RHYTHM
This project is aimed at tackling some of the open problems posed in [1]. The main approach of Toussaint is to look at geometrical aspects of musical rhythm (rather than, say, numerical aspects). The geometrical approach leads to analysing symmetries of 2-dimensional polygons. The project will search for occurrence of maximally even sets and so-called "deep rhythms" within certain time frameworks ("time signature"): Online software will be built where the user can chose a particular time signature and search for the existence of deep rhythms within it.
This project will be carried out under linux and so requires some knowledge of/interest in linux/unix.

[1] "The Geometry of Musical Rhythm", Proceedings of the Japan Conference on Discrete and Computational Geometry, J. Akiyama et al. (Eds.), LNCS 3742, Springer-Verlag, Berlin, Heidelberg, 2005, pp. 198-212. see: http://cgm.cs.mcgill.ca/~godfried/rhythm.html