Random lines and tessellations in a plane.

Luis A. Santaló

Stochastica (1980)

  • Volume: 4, Issue: 1, page 3-13
  • ISSN: 0210-7821

Abstract

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Our purpose is the study of the so called mixed random mosaics, formed by superposition of a given tesellation, not random, of congruent convex polygons and a homogeneous Poisson line process. We give the mean area, the mean perimeter and the mean number of sides of the polygons into which such mosaics divide the plane.

How to cite

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Santaló, Luis A.. "Random lines and tessellations in a plane.." Stochastica 4.1 (1980): 3-13. <http://eudml.org/doc/38834>.

@article{Santaló1980,
abstract = {Our purpose is the study of the so called mixed random mosaics, formed by superposition of a given tesellation, not random, of congruent convex polygons and a homogeneous Poisson line process. We give the mean area, the mean perimeter and the mean number of sides of the polygons into which such mosaics divide the plane.},
author = {Santaló, Luis A.},
journal = {Stochastica},
keywords = {Geometría plana; Teselaciones; Geometría estocástica; Polígonos; geometric probability; random lines; tesselations; Poisson process; mosaics},
language = {eng},
number = {1},
pages = {3-13},
title = {Random lines and tessellations in a plane.},
url = {http://eudml.org/doc/38834},
volume = {4},
year = {1980},
}

TY - JOUR
AU - Santaló, Luis A.
TI - Random lines and tessellations in a plane.
JO - Stochastica
PY - 1980
VL - 4
IS - 1
SP - 3
EP - 13
AB - Our purpose is the study of the so called mixed random mosaics, formed by superposition of a given tesellation, not random, of congruent convex polygons and a homogeneous Poisson line process. We give the mean area, the mean perimeter and the mean number of sides of the polygons into which such mosaics divide the plane.
LA - eng
KW - Geometría plana; Teselaciones; Geometría estocástica; Polígonos; geometric probability; random lines; tesselations; Poisson process; mosaics
UR - http://eudml.org/doc/38834
ER -

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