9 citations · 25 across the 17 of their papers we have counts for
8 papers · 1 filter
The probabilities for the number of intersections in the Buffon-Laplace needle problem in
Uwe Bäsel
In 1974, Stoka solved Buffon's needle problem in , , i.e. he found a closed form solution for the probability that a line segment ("needle") with length $\el…
The moments of the distance between two random points in a regular polygon
Uwe Bäsel
In this paper, we derive formulas for the analytical calculation of the moments of the distance between two uniformly and independently distributed random points in an -sided re…
Geometric probabilities for a cluster of needles and a lattice of rectangles
Uwe Bäsel
A cluster of needles () is dropped at random onto a plane lattice of rectangles. Each needle is fixed at one end in the cluster centre and can rotate independen…
Buffon's problem with a pivot needle
Uwe Bäsel
In this paper, we solve Buffon's needle problem for a needle consisting of two line segments connected in a pivot point.
Hitting probabilities for random convex bodies and lattices of triangles
Uwe Bäsel
In the first part of this paper, we obtain symmetric formulae for the probabilities that a plane convex body hits exactly 1, 2, 3, 4, 5 or 6 triangles of a lattice of congruent tri…
Buffon's problem with a star of needles and a lattice of parallelograms
Uwe Bäsel
A star of n (n greater than or equal to 2) line segments (needles) of equal length with common endpoint and constant angular spacing is randomly placed onto a lattice which is the…