Lattice 3-polytopes with six lattice points (Q161309)
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scientific article; zbMATH DE number 6569181
- Lattice 3-Polytopes with Six Lattice Points
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lattice 3-polytopes with six lattice points |
scientific article; zbMATH DE number 6569181 |
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6 January 2015
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15 April 2016
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math.CO
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lattice polytopes
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unimodular equivalence
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lattice points
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Lattice 3-polytopes with six lattice points (English)
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In this paper the authors develop a complete classification of lattice 3-polytopes with six lattice points, modulo unimodular equivalence. There are two distinct cases here: widths one and widths greater than 1. For the case of width 1 there are infinitely many non-equivalent polyhedra. In terms of their oriented matroid, such polyhedra form eight infinite series and 12 individual extra examples. For degree greater than one there are just finitely many (74 of width two, 2 of width three, 0 of larger width). All the polyhedra are presented explicitly.
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