Packing Three Cubes in D-Dimensional Space

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.