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On the existence of Fagnano trajectories in convex polygonal billiards

โœ Scribed by A. Deniz; A.V. Ratiu


Book ID
111469501
Publisher
SP MAIK Nauka/Interperiodica
Year
2009
Tongue
English
Weight
470 KB
Volume
14
Category
Article
ISSN
1560-3547

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Examples are given of n vertex convex polygons for which the distances between a fixed vertex and the remaining vertices, visited in order, form a multi-modal function. We show that this function may have as many as n/2 modes, or local maxima. Further examples are given of n vertex convex polygons i