Publications (5)
On the multiplicity of arrangements of congruent zones on the sphere
A. Bezdek, F. Fodor, V. VÃgh +1
Consider an arrangement of congruent zones on the -dimensional unit sphere , where a zone is the intersection of an origin symmetric Euclidean plank with .…
The packing density of the -dimensional cross-polytope
G. Fejes Tóth, F. Fodor, V. VÃgh
The packing density of the regular cross-polytope in Euclidean -space is unknown except in dimensions and where it is 1. The only non-trivial upper bound is due to Grave…
Gaia Data Release 1. Testing the parallaxes with local Cepheids and RR Lyrae stars
Gaia Collaboration, G. Clementini, L. Eyer +588
Parallaxes for 331 classical Cepheids, 31 Type II Cepheids and 364 RR Lyrae stars in common between Gaia and the Hipparcos and Tycho-2 catalogues are published in Gaia Data Release…
Gaia Data Release 1. Open cluster astrometry: performance, limitations, and future prospects
Gaia Collaboration, F. van Leeuwen, A. Vallenari +589
Context. The first Gaia Data Release contains the Tycho-Gaia Astrometric Solution (TGAS). This is a subset of about 2 million stars for which, besides the position and photometry,…
A fractional Helly theorem for boxes
I. Bárány, F. Fodor, A. MartÃnez-Pérez +3
Let be a family of axis-parallel boxes in and a real number. There exists a real number such that if there are $α{n\c…