The combinatorial structure of spatial STIT tessellations

DOI10.1007/S00454-013-9524-YzbMath1283.60018arXiv1111.0488OpenAlexW1996852615MaRDI QIDQ377484

Christoph Thäle, Viola Weiß

Publication date: 6 November 2013

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.0488

zbMATH Keywords

random tessellationcombinatorial topologyrandom polytopesgeometric mean valuesiteration/ nesting

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Three-dimensional polytopes (52B10) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Combinatorial aspects of tessellation and tiling problems (05B45)

Related Items (2)

Spatial Stit Tessellations: Distributional Results for I-Segments ⋮ A Mecke-type formula and Markov properties for STIT tessellation processes

Cites Work

• Vertex numbers of weighted faces in Poisson hyperplane mosaics
• Geometry of iteration stable tessellations: connection with Poisson hyperplanes
• Typical cells in Poisson hyperplane tessellations
• Line Segments in the Isotropic Planar Stit Tessellation
• NEW MEAN VALUES FOR HOMOGENEOUS SPATIAL TESSELLATIONS THAT ARE STABLE UNDER ITERATION
• Topological relationships in spatial tessellations
• Spatial Stit Tessellations: Distributional Results for I-Segments
• Stochastic and Integral Geometry
• MEAN VALUES FOR HOMOGENEOUS STIT TESSELLATIONS IN 3D
• Crack STIT tessellations: characterization of stationary random tessellations stable with respect to iteration
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