Geodesic
Chord length distribution function for a regular hexagon
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2007), pp. 17-24

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In the paper elementary expression for the chord length distribution function of a regular hexagon is obtained. The formula is derived using $\delta$-formalism in Pleijel identity. 
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H. S. Harutyunyan. Chord length distribution function for a regular hexagon. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2007), pp. 17-24. http://geodesic.mathdoc.fr/item/UZERU_2007_1_a1/