Length distributions of edges in planar stationary and isotropic STIT tessellations
Joseph Mecke, Werner Nagel, Viola W. Weiss · Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) · 2007
Stationary and isotropic random tessellations of the euclidean plane are studied which have the characteristic property to be stable with respect to iteration (or nesting), STIT for short. Since their cells are not in a face-to-face position, three different types of linear segments appear. For all the types the distribution of the length of the typical segment is given.