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A Laplace type problem for regular lattices with irregular hexagonal cell. (English) Zbl 1223.60014

The authors study a generalisation of the Buffon problem for a regular lattice with irregular hexagonal cell. The probability that a randomly positioned segment of constant length intersects a side of this lattice is calculated.

MSC:

60D05 Geometric probability and stochastic geometry
52A22 Random convex sets and integral geometry (aspects of convex geometry)