TY - JOUR
T1 - The Radon number of the three-dimensional integer lattice
AU - Bezdek, K.
AU - Blokhuis, A.
N1 - MR2007959 U.S.-Hungarian Workshops on Discrete Geometry and Convexity (Budapest, 1999/Auburn, AL, 2000)
PY - 2003
Y1 - 2003
N2 - In this note we prove that the Radon number of the three-dimensional integer lattice is at most 17, that is, any set of 17 points with integral coordinates in the three-dimensional Euclidean space can be partitioned into two sets such that their convex hulls have an integer point in common.
AB - In this note we prove that the Radon number of the three-dimensional integer lattice is at most 17, that is, any set of 17 points with integral coordinates in the three-dimensional Euclidean space can be partitioned into two sets such that their convex hulls have an integer point in common.
UR - https://www.scopus.com/pages/publications/0042919413
UR - https://www.scopus.com/inward/citedby.url?scp=0042919413&partnerID=8YFLogxK
U2 - 10.1007/s00454-003-0003-8
DO - 10.1007/s00454-003-0003-8
M3 - Article
SN - 0179-5376
VL - 30
SP - 181
EP - 184
JO - Discrete and Computational Geometry
JF - Discrete and Computational Geometry
IS - 2
ER -