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The Computer Journal 1978 21(3):243-245; doi:10.1093/comjnl/21.3.243
© 1978 by British Computer Society
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Locally equiangular triangulations

R. Sibson *

School of Mathematics, University of Bath, Claverton Down, Bath, UK

Lawson (1972) has given a criterion of local equiangularity of a triangulation of the convex hull of a finite set of distinct points in the plane. In this note it is shown that (with suitable modifications to deal with degeneracy) there is only one such triangulation, and that it is the Delaunay triangulation (Rogers, 1964).

Received March 1977.

* School of Mathematics, University of Bath, Claverton Down, Bath, Avon BA2 7AY


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