Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:geometry_of_numbers
sphere packing classification of lattices |
| gptkbp:defines |
A Delaunay polytope that determines its lattice up to scaling and is uniquely determined by its set of minimal vectors.
|
| gptkbp:dimensions |
exist in dimensions 1 and higher
|
| gptkbp:field |
gptkb:geometry
lattice theory |
| https://www.w3.org/2000/01/rdf-schema#label |
perfect Delaunay polytopes
|
| gptkbp:introduced |
Erdahl, Robert M.
|
| gptkbp:notableExample |
gptkb:24-cell
Gosset polytope 6_21 Gosset polytope 7_21 |
| gptkbp:property |
circumscribed by an empty ellipsoid
vertices are lattice points |
| gptkbp:relatedTo |
gptkb:Delaunay_polytopes
lattices perfect forms |
| gptkbp:bfsParent |
gptkb:Delaunay_polytopes
|
| gptkbp:bfsLayer |
8
|