In this paper, results of a free sorting task of 124 different material samples are analysed using multidimensional scaling. The relevant number of dimensions for haptic perception of materials is estimated to be 4. In addition, the haptic material space is calibrated by means of physical measurements of compressibility and roughness. The relation between objective and perceived compressibility and that between objective and perceived roughness could be described by an exponential function. © 2005 Elsevier B.V. All rights reserved.