Department of Applied Mathematics, Faculty of Mechanical Engineering, University of Žilina, Univerzitná 1, 010 26 Žilina, Slovakia
Peter Adamko
Department of Quantitative Methods and Economics Informatics, Faculty of Operation and Economics of Transport and Communications, University of Žilina, Univerzitná 1, 010 26 Žilina, Slovakia
Denote Vn(d) the least number that every system of n cubes with total volume 1 in d-dimensional (Euclidean) space can be packed parallelly into some rectangular parallelepiped of volume Vn(d). New results V3(5)≐1.802803792, V3(7)≐2.05909680, V3(9)≐2.21897778, V3(10)≐2.27220126, V3(11)≐2.31533581, V3(12)≐2.35315527, V3(13)≐2.38661963 can be found in the paper.
