In this paper we consider the snub square tiling of the plane ($(3^2,4,3,4)$ Archimedean tiling) and compute the probability that a random circle or a random segment intersects a side of the lattice. Moreover we compute the same probability if also the diameter of the circle or the length of the segment is a random variable.
Vassallo, S. F., Buffon Type Problems in Archimedean Tilings II, <<APPLIED MATHEMATICAL SCIENCES>>, 2016; (27): 1299-1306. [doi:http://dx.doi.org/10.12988/ams.2016.63100] [http://hdl.handle.net/10807/82508]
Buffon Type Problems in Archimedean Tilings II
Vassallo, Salvatore FlavioPrimo
2016
Abstract
In this paper we consider the snub square tiling of the plane ($(3^2,4,3,4)$ Archimedean tiling) and compute the probability that a random circle or a random segment intersects a side of the lattice. Moreover we compute the same probability if also the diameter of the circle or the length of the segment is a random variable.
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