Lattice 3-polytopes with six lattice points (Q161309)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Lattice 3-polytopes with six lattice points |
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 |
|
Statements
6 January 2015
0 references
15 April 2016
0 references
math.CO
0 references
lattice polytopes
0 references
unimodular equivalence
0 references
lattice points
0 references
Lattice 3-polytopes with six lattice points (English)
0 references
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.
0 references
