Abstract: We completely classify lattice 3-polytopes with six lattice points, modulo unimodular equivalence. We give explicit coordinates for representatives of each, together with other invariants, such as their oriented matroid (or order type) and volume vector. There are infinitely many of width one, 74 of width two, two of width three, and none of larger width. Those of width one lie, in terms of their oriented matroid, in eight infinite classes and 12 individual polytopes.

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