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Outer billiards is a dynamical system based on a convex shape in the plane. Classically, this system is defined for the Euclidean plane[1] but one can also consider the system in the hyperbolic plane[2] or in other spaces that suitably generalize the plane. Outer billiards differs from a usual dynamical billiard in that it deals with a discrete sequence of moves outside the shape rather than inside of it.
- ^ Cite error: The named reference
Tabachnikov1995was invoked but never defined (see the help page). - ^ Tabachnikov, Sergei (2002). "Dual Billiards in the Hyperbolic Plane". Nonlinearity. 15 (4): 1051–1072. Bibcode:2002Nonli..15.1051T. CiteSeerX 10.1.1.408.9436. doi:10.1088/0951-7715/15/4/305. S2CID 250758250.