Buffon ’ s Needle

The Buffon Needle Problem Extended

Geometrical statistical methods are used to study needles floating in a weightless environment. This is a three dimensional analog of the classical Buffon Needle problem in two dimensions.

Principles & Problems A comparison of the significance and conceptual mathematics of Cavalieri ’ s Principle & Buffon ’ s Needle Problem

1 0 Ju n 20 09 . BUFFON NEEDLES LANDING NEAR SIERPINSKI GASKET

In this paper we modify the method of Nazarov, Peres, and Volberg [14] to get an estimate from above of the Buffon needle probability of the nth partially constructed Sierpinski gasket of Hausdorff dimension 1.

Solutions of Buffon’s problems in the 19 century

The Buffon’s needle problem is a well known problem of geometric probability. But Buffon formulated and solved also other problems in this topic. We recall them and their solutions by Buffon, Laplace, Todhunter, Lamé and Barbier.

2 M ay 2 00 9 . BUFFON NEEDLES LANDING NEAR SIERPINSKI GASKET

In this paper we modify the method of Nazarov, Peres, and Volberg [14] to get an estimate from above of the Buffon needle probability of the nth partially constructed Sierpinski gasket of Hausdorff dimension 1.