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Currently the Arthur Scribner Bicentennial Preceptor (don`t ask) and also an Assistant Professor of Music at Princeton University, Dimitri Tymoczko has been getting some press recently for his forays into the world of harmony and geometry (not far removed from his colleague Paul Lansky`s interest in affine music, perhaps)
Discussed in the Telegraph for instance (referencing work published in Science). I post this here partly because of this recent geometry stuff but also because of the wealth of interesting written work on Tymoczko`s site. Enjoy (sort of). [the written work is listed in 'publications' on his Princeton page, cant link directly to it unfortunately]
There is also a Princeton podcast on this topic.
One of Tymoczko`s geometric images from this page.
A one-dimensional 4-state en:cyclic cellular automaton, run for 300 steps from a random initial configuration. The ith row of the image shows the state of the automaton after i steps. The boundaries between colored regions in this diagram can be viewed as particles that move left, move right, or remain stationary, and interact with each other when they collide.
Distribution of the discrete variables θi and φi in a magnetic soliton. The transition from a nonlocalized state at N=1 (top left) to localized states at N>1 is seen.
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