## Classification of six-point metrics.(English)Zbl 1053.52019

Summary: There are 339 combinatorial types of generic metrics on six points. They correspond to the 339 regular triangulations of the second hypersimplex $$\Delta(6,2)$$, which also has 14 non-regular triangulations.

### MSC:

 52B45 Dissections and valuations (Hilbert’s third problem, etc.) 51K05 General theory of distance geometry 05C12 Distance in graphs
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