A Danzer set for Axis Parallel Boxes

TY - JOUR

T1 - A Danzer set for Axis Parallel Boxes

AU - Simmons, David

AU - Solomon, Yaar

N1 - © 2015 American Mathematical Society. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details

PY - 2016/6/1

Y1 - 2016/6/1

N2 - We present concrete constructions of discrete sets in $\mathbb{R}^d$ ($d\ge 2$) that intersect every aligned box of volume $1$ in $\mathbb{R}^d$, and which have optimal growth rate $O(T^d)$.

AB - We present concrete constructions of discrete sets in $\mathbb{R}^d$ ($d\ge 2$) that intersect every aligned box of volume $1$ in $\mathbb{R}^d$, and which have optimal growth rate $O(T^d)$.

KW - cs.CG

KW - cs.DM

KW - math.DS

UR - https://arxiv.org/abs/1409.0926

U2 - 10.1090/proc/12911

DO - 10.1090/proc/12911

M3 - Article

SN - 0002-9939

VL - 144

SP - 2725

EP - 2729

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 6

ER -