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The Proportion of Triangles in a Poisson-Voronoi Tessellation of the Plane

Andrew Hayen and Malcolm Quine
Advances in Applied Probability
Vol. 32, No. 1 (Mar., 2000), pp. 67-74
Stable URL: http://www.jstor.org/stable/1428226
Page Count: 8
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The Proportion of Triangles in a Poisson-Voronoi Tessellation of the Plane
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Abstract

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 0.011 2354 to 7 decimal places. We also obtain the first four moments of some characteristics of triangles.

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