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math.DS2012
The current state of fractal billiards
Michel L. Lapidus, Robert G. Niemeyer
If D is a rational polygon, then the associated rational billiard table is given by Ω(D). Such a billiard table is well understood. If F is a closed fractal curve approximated by a…
math.DS2012★ 6 cited
Sequences of compatible periodic hybrid orbits of prefractal Koch snowflake billiards
Michel L. Lapidus, Robert G. Niemeyer
The Koch snowflake KS is a nowhere differentiable curve. The billiard table Omega(KS) with boundary KS is, a priori, not well defined. That is, one cannot a priori determine the mi…