Abstract
This paper presents a powerful characterisation for the structure of internal vertices of the STIT's I-segments. The characterisation allows certain mathematical analyses to be performed easily. We demonstrate this by deriving new results for various topological properties of the tessellation: for example, the numbers of various types of edge and cell side within the typical I-segment. The characterisation also provides a tool for the calculations of metric properties of the tessellation; many new length distributions and frame-coverage results are given.
Citation
Richard Cowan. "Line segments in the isotropic planar STIT tessellation." Adv. in Appl. Probab. 45 (2) 295 - 311, June 2013. https://doi.org/10.1239/aap/1370870119
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