Column tessellations

Ngoc Linh Nguyen; Viola Weiss; Richard Cowan

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arXiv · 1402.4617

Column tessellations

Ngoc Linh Nguyen·Viola Weiss·Richard Cowan

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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.

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Ngoc Linh Nguyen, Viola Weiss, Richard Cowan. 2014-02-19. Column tessellations. https://arxiv.org/abs/1402.4617

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