High Quality Content by WIKIPEDIA articles! In mathematics, barycentric coordinates are coordinates defined by the vertices of a simplex (a triangle, tetrahedron, etc). Barycentric coordinates are a form of homogeneous coordinates. Let x1, ..., xn be the vertices of a simplex in a vector space A. If, for some point p in A, and at least one of a1, ..., an does not vanish then we say that the coefficients (a1, ..., an) are barycentric coordinates of p with respect to x1, ..., xn. The vertices themselves have the coordinates (1, 0, 0, ..., 0), (0, 1, 0, ..., 0), ..., (0, 0, 0, ..., 1). Barycentric coordinates are not unique: for any b not equal to zero, (b a1, ..., b an) are also barycentric coordinates of p.

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