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We suggest a novel distance-based method for the determination of phylogenetic trees. It is based on multidimensional scaling and Euclidean Steiner trees in high-dimensional spaces. Preliminary computational experience shows that the use of Euclidean Steiner trees for finding phylogenetic trees is a viable approach. Experiments also indicate that the new method is comparable with results produced by neighbor joining (Saitou and Nei, Mol Biol Evol 4 (1987), 406–425). © 2008 Wiley Periodicals, Inc. NETWORKS, 2009