For the l1 unit cross-polytope, the maximum number of points with pairwise l1-distance at least 2r is exactly 2n for r in (1-1/n, 1], and in three dimensions is exactly 10 for r in (3/5, 2/3] and 12 for r in (4/7, 3/5], with an upper bound of 14 for r in (1/2, 4/7].
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.MG 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
The maximum number of points in the cross-polytope that form a packing set of a scaled cross-polytope
For the l1 unit cross-polytope, the maximum number of points with pairwise l1-distance at least 2r is exactly 2n for r in (1-1/n, 1], and in three dimensions is exactly 10 for r in (3/5, 2/3] and 12 for r in (4/7, 3/5], with an upper bound of 14 for r in (1/2, 4/7].