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arxiv: 1402.4617 · v1 · submitted 2014-02-19 · 🧮 math.PR

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Column tessellations

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keywords tessellationcolumnplanarspatialtessellationscellbasecalculated
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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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