Crystallography, geometry and physics in higher dimensions. XII. Counting and general nomenclature of N-dimensional crystal families: application from one- to five-dimensional spaces

In paper XI [Veysseyre, Weigel & Phan (1993). Acta Cryst. A49, 481-486], the definition was given of the geometrically Z-irreducible and the geometrically Z-reducible crystal families of the n-dimensional space and a general method was described for constructing all crystal families. In this paper, systematic rules are stated for giving names to the crystal families and these are listed for spaces E¹, E², E³, E⁴ and E⁵.