Posted: Wednesday, October 16, 2019

Clark Kimberling, professor of mathematics, has a research article in the Journal of Integer Sequences. The article is entitled "A Combinatorial Classification of Triangle Centers on the Line at Infinity." The classification is based on barycentric coordinates that are polynomials, especially when the polynomials represent points on a special line in the extended plane of a general triangle, known as the line at infinity. The article, downloadable as a pdf, shows how several sequences in the Online Encyclopedia of Integer Sequences surprisingly occur in connection with points indexed in the University of Evansville-based Encyclopedia of Triangle Centers.

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