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Tessellations

Spatial and Temporal Modeling and Analysis

  1. Frederic Paik Schoenberg

Published Online: 15 SEP 2006

DOI: 10.1002/9780470057339.vat004

Encyclopedia of Environmetrics

Encyclopedia of Environmetrics

How to Cite

Schoenberg, F. P. 2006. Tessellations. Encyclopedia of Environmetrics. 6.

Author Information

  1. University of California at Los Angeles, CA, USA

Publication History

  1. Published Online: 15 SEP 2006

Abstract

A tessellation may be defined as a division of a space into convex polygonal regions; divisions of the plane (R2) are most often discussed. While geometrists centuries ago reserved the term tessellation merely for divisions of the plane into regular polygons of equal size, most authors now define tessellations very broadly so as to include any arrangements of nonoverlapping shapes covering Rd, as well as partitions of other metric spaces.