<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>In this paper we present selected properties of barycentric coordinates in the Euclidean topological space. We prove the topological correspondence between a subset of an affine closed space of <italic>ε<sup>n</sup></italic> and the set of vectors created from barycentric coordinates of points of this subset.</p></abstract>

In this paper we present selected properties of barycentric coordinates in the Euclidean topological space. We prove the topological correspondence between a subset of an affine closed space of εn and the set of vectors created from barycentric coordinates of points of this subset.

Continuity of Barycentric Coordinates in Euclidean Topological Spaces

Institute of Informatics, University of Białystok, Poland

Formalized Mathematics

{"article-title":"Continuity of Barycentric Coordinates in Euclidean Topological Spaces"}

In this paper we present selected properties of barycentric coordinates in the Euclidean topological space. We prove the topological correspondence between a...

Continuity of Barycentric Coordinates in Euclidean Topological Spaces

Published Online: Apr 26, 2012

Page range: 139 - 144

DOI: https://doi.org/10.2478/v10037-011-0022-5

This content is open access.