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arXiv 1402.4617math.PR
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柱镶嵌

Column tessellations

Ngoc Linh Nguyen, Viola Weiss, Richard Cowan

摘要:

介绍了一类新的随机空间镶嵌--所谓的三维空间列镶嵌。该构造基于静止平面镶嵌。空间曲面细分的每个单元是棱柱,其底面与平面曲面细分的单元全等。因此,可以通过适当选择的平面镶嵌的参数来计算空间镶嵌的强度、拓扑和度量平均值。柱细分不是面到面细分。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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