Column tessellations
Probability
2014-02-20 v1
Abstract
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.
Cite
@article{arxiv.1402.4617,
title = {Column tessellations},
author = {Ngoc Linh Nguyen and Viola Weiss and Richard Cowan},
journal= {arXiv preprint arXiv:1402.4617},
year = {2014}
}
Comments
18 pages, 3 figures