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- Robert D. MacPherson, David J. Srolovitz
- Nature
- 2007

Cellular structures or tessellations are ubiquitous in nature. Metals and ceramics commonly consist of space-filling arrays of single-crystal grains separated by a network of grain boundaries, andâ€¦ (More)

- Robert D. MacPherson, Benjamin Schweinhart
- ArXiv
- 2010

We propose a measure of shape which is appropriate for the study of a complicated geometric structure, defined using the topology of neighborhoods of the structure. One aspect of this measure gives aâ€¦ (More)

- Emanual A. Lazar, Jeremy K. Mason, Robert D. MacPherson, David J. Srolovitz
- Physical review letters
- 2012

We introduce a general, efficient method to completely describe the topology of individual grains, bubbles, and cells in three-dimensional polycrystals, foams, and other multicellularâ€¦ (More)

- Jeremy K. Mason, Emanuel A. Lazar, Robert D. MacPherson, David J. Srolovitz
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2012

Cellular networks may be found in a variety of natural contexts, from soap foams to biological tissues to grain boundaries in a polycrystal, and the characterization of these structures is thereforeâ€¦ (More)

- Jeremy K. Mason, Emanuel A. Lazar, Robert D. MacPherson, David J. Srolovitz
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2015

Many physical systems can be modeled as large sets of domains "glued" together along boundaries-biological cells meet along cell membranes, soap bubbles meet along thin films, countries meet alongâ€¦ (More)

- Benjamin Schweinhart, Jeremy K. Mason, Robert D. MacPherson
- Physical review. E
- 2016

Although random cell complexes occur throughout the physical sciences, there does not appear to be a standard way to quantify their statistical similarities and differences. The various proposals inâ€¦ (More)

- Emanuel A. Lazar, Jeremy K. Mason, Robert D. MacPherson, David J. Srolovitz
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2013

Voronoi tessellations of Poisson point processes are widely used for modeling many types of physical and biological systems. In this paper, we analyze simulated Poisson-Voronoi structures containingâ€¦ (More)

- Frank H. Lutz, Jeremy K. Mason, Emanuel A. Lazar, Robert D. MacPherson
- Physical review. E
- 2017

Many physical systems are composed of polyhedral cells of varying sizes and shapes. These structures are simple in the sense that no more than three faces meet at an edge and no more than four edgesâ€¦ (More)

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