Corpus ID: 237494676

Music of moduli spaces

@inproceedings{Penner2021MusicOM,
  title={Music of moduli spaces},
  author={Robert C. Penner},
  year={2021}
}
  • R. Penner
  • Published 12 September 2021
  • Mathematics
A musical instrument, the plastic hormonica, is defined here as a birthday present for Dennis Sullivan, who pioneered and helped popularize the hyperbolic geometry underlying its construction. This plastic hormonica is based upon the Farey tesselation of the Poincaré disk decorated by its standard osculating horocycles centered at the rationals. In effect, one taps or holds points of another tesselation τ with the same decorating horocycles to produce sounds depending on the fact that the… Expand

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