2014/02/19 by Ngoc Linh Nguyen, Nguyen, Ngoc Linh, V. Weiß +3
Mathematics · #05B45 #51M20 #52B10 #52C17 #60D05 #60G55 #FOS: Mathematics #Mathematics and Applications #Probability (math.PR)
paper · pdf · doi:10.48550/arxiv.1402.4617
openalex publication_date 2014/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A new class of random spatial tessellations is introduced -- the so-called column tessellations of three-dimensional space. The construction is based on a stationary planar tessellation. Each cell of the spatial tessellation is a prism whose base facet is congruent to a cell of the planar tessellation. Thus intensities, topological and metric mean values of the spatial tessellation can be calculated by suitably chosen parameters of the planar tessellation. A column tessellation is not facet-to-facet.