2 citations · 2 across the 5 of their papers we have counts for
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Tessellations derived from random geometric graphs
Richard Cowan, Albert K. L. Tsang
In this paper we consider a random partition of the plane into cells, the partition being based on the nodes and links of a {\it random planar geometric graph}. The resulting struc…
Column tessellations
Ngoc Linh Nguyen, Viola Weiss, Richard Cowan
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 tessell…
Constraints on the fundamental topological parameters of spatial tessellations
Richard Cowan, Viola Weiss
Tessellations of that use convex polyhedral cells to fill the space can be extremely complicated, especially if they are not facet-to-facet, that is, if the facets of a cell…
The Moment Generating function for ray lengths in the Half Gilbert Model with Rectangular Cells
James Burridge, Richard Cowan
In the full rectangular version of Gilbert's tessellation lines extend either horizontally (with east- and west--growing rays) or vertically (north- and south--growing rays) from s…
Full and Half Gilbert Tessellations with Rectangular Cells
James Burridge, Richard Cowan, Isaac Ma
We investigate the ray-length distributions for two different rectangular versions of Gilbert's tessellation. In the full rectangular version, lines extend either horizontally (wit…