A Combinatorial Classification of Triangle Centers on the Line at Infinity
Department of Mathematics
University of Evansville
Evansville, IN 47722
Many triangle centers on the line at infinity have barycentric coordinates
that are polynomials. These are classified first by two types, called even
and odd, and then further classified by bases with respect to which
the polynomials are linear combinations. For each positive integer n,
the polynomials in a basis are determined by the partitions of n into
at most three parts.
Full version: pdf,
(Concerned with sequences
Received January 8 2019; revised versions received April 8 2019; June 16 2019.
Published in Journal of Integer Sequences,
August 23 2019.
Journal of Integer Sequences home page