Fagnano Orbits of Polygonal Dual Billiards

نویسنده

  • SERGE TABACHNIKOV
چکیده

Given a convex n-gon P , a Fagnano periodic orbit of the respective dual billiard map is an n-gon Q whose sides are bisected by the vertices of P . For which polygons P does the ratio Area Q/AreaP have the minimal value? The answer is shown to be: for affine-regular polygons. Mathematics Subject Classification (1991): 52-XX.

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تاریخ انتشار 1999