The proportion of triangles in a Poisson-Voronoi tessellation of the plane
Andrew D. Hayen, Malcolm P. Quine · Advances in Applied Probability · 2000
By using an adaptation of the radial generation method, we give an integral formula for the proportion of triangles in a Poisson-Voronoi tessellation, which gives a value of 0.0112354 to 7 decimal places. We also obtain the first four moments of some characteristics of triangles.