##### Three-Dimensional Poisson-Voronoi Structures - Raw Data

Here we provide raw data for the 3D Poisson-Voronoi structures analyzed in our paper "Statistical topology of three-dimensional Poisson-Voronoi cells and cell boundary networks" (*Phys. Rev. E.*88:063309, 2013), available here and here; summary statistical data from these structures is available here.

Raw data is divided into two parts. In the first, we provide data for individual cells; in the second part we provide data for each face. Each file contains a line for each cell or face in the system; there are 250,000,000 cells and 1,941,911,665 faces in the data set. Data of metric properties (volumes, areas, etc) are normalized so that their means are 1. The ordering of cells and faces in each file is identical, so that the data can be conveniently analyzed. Files are in zipped format; very large data sets were divided between two files.

If you use this data in published work, please consider citing one of the papers below.

Filename |
Description |
Size |
---|---|---|

all_cell_volumes.zip | Volumes of each cell | 895MB |

all_cell_surface_areas.zip | Surface area of each cell | 873MB |

all_cell_edge_length_totals.zip | Sum of lengths of all edges of each cell | 863MB |

all_cell_mean_widths.zip | Mean width of each cell | 829MB |

all_cell_faces.zip | Number of faces of each cell | 166MB |

all_cell_pvectors.zip | p-vector of each cell | 819MB |

all_cell_wvectorsA.zip | Weinberg vector of each cell (part 1) | 2.6GB |

all_cell_wvectorsB.zip | Weinberg vector of each cell (part 2) | 2.6GB |

all_cell_symmetry_orders.zip | Symmetry order of each cell | 28MB |

all_cell_FmF.zip | Sum of faces of neighbors of each cell | 327MB |

Filename |
Description |
Size |
---|---|---|

all_cell_edges.zip | Number of edges of each face | 676MB |

all_cell_areasA.zip | Area of each face (part 1) | 3.6GB |

all_cell_areasB.zip | Area of each face (part 2) | 3.4GB |

all_cell_perimetersA.zip | Perimeter of each face (part 1) | 3.6GB |

all_cell_perimetersB.zip | Perimeter of each face (part 2) | 3.3GB |

all_cell_neighboring_cell_faces.zip | Number of faces of neighboring cells | 2.2GB |

##### Related Publications

**Lazar, E.A.**, Mason, J.K., MacPherson, R.D. and Srolovitz, D.J. "Statistical topology of three-dimensional Poisson-Voronoi cells and cell boundary networks", arXiv,*Phys. Rev. E.*88:063309, 2013.- Hilhorst, H.J.,
**Lazar, E.A.**"Many-faced cells and many-edged faces in 3D Poisson-Voronoi tessellations", arXiv,*J. Stat. Mech.*10:P10021, 2014. **Lazar, E.A.**, Mason, J.K., MacPherson, R.D. and Srolovitz, D.J. "Complete topology of cells, grains, and bubbles in three-dimensional microstructures", arXiv,*Phys. Rev. Lett.*109:095505, 2012.