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Platonic Orbits and Fully Democratic Satellite Networks

Platonic Orbits and Fully Democratic Satellite Networks. Latham Boyle ( w / Kendrick Smith). (Earlier work by G. Mozhaev and J. G. Walker, 1970’s). A Regular Tetrahedral Orbit?. Point Groups in 3D. Point Groups in 3D. Point Groups in 3D. Point Groups in 3D. Point Groups in 3D.

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Platonic Orbits and Fully Democratic Satellite Networks

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  1. Platonic Orbitsand Fully Democratic Satellite Networks Latham Boyle (w/ Kendrick Smith) (Earlier work by G. Mozhaev and J. G. Walker, 1970’s)

  2. A Regular Tetrahedral Orbit?

  3. Point Groups in 3D

  4. Point Groups in 3D

  5. Point Groups in 3D

  6. Point Groups in 3D

  7. Point Groups in 3D

  8. More generally: • Classic problem in mathematics: Given a space (especially a maximally symmetric space like the sphere, the plane, the hyperboloid) in a given dimension, and with a given signature, what are the possible STATIC lattices/tilings?

  9. More generally: • Classic problem in mathematics: Given a space (especially a maximally symmetric space like the sphere, the plane, the hyperboloid) in a given dimension, and with a given signature, what are the possible STATIC lattices/tilings? • New problem: Given a space (especially a maximally symmetric) in a given dimension, and with a given signature, what are the possible DYNAMICAL lattices/tilings?

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