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tokens: We are very grateful to the referee, Anthony Brown, for a constructive and thorough report that improved the manuscript substantially. We are also very grateful to Frédéric Arenou for enlightening explanations regarding the treatment of H ipparcos parallax measurement errors, and to Michail Vidiassov and David Barnes for their help with R, rgl and 3D PDF figures. We acknowledge the help of the anonymous specialists who provided their assistance on various StackExchange.com forums. H. Bouy is funded by the Ramón y Cajal fellowship program number RYC-2009-04497 and by Spanish Grant AYA2012-38897-C02-01. J. Alves acknowledges travel support from the ESAC Faculty council. This research has made use of the VizieR and Aladin images and catalog access tools and of the SIMBAD database, operated at the CDS, Strasbourg, France. This research has made use of Topcat ( http://www.starlink.ac.uk/topcat/ , Taylor 2005 ). This research made use of Astropy, a community-developed core Python package for Astronomy ( Astropy Collaboration et al. 2013 ). We acknowledge the use of the Legacy Archive for Microwave Background Data Analysis (LAMBDA), part of the High Energy Astrophysics Science Archive Center (HEASARC). HEASARC/LAMBDA is a service of the Astrophysics Science Division at the NASA Goddard Space Flight Center. Using observations obtained with Planck ( http://www.esa.int/Planck ), an ESA science mission with instruments and contributions directly funded by ESA Member States, NASA, and Canada.