The problem of choosing morphological crystallographic elements reaches full generality in the triclinic system, in which the mutual intersections of any three non-tautozonal crystal planes may be taken as axes of reference with the intercepts of any crystal plane cutting all the axes to define the parameters. If the indices of the observed planes are to be small numbers only a moderate number of morphological lattices come under consideration; but since a triclinic lattice may be defined by any one of numerous cells, and any triclinic cell can be oriented in twentyfour different ways, the number of sets of geometrical elements that can be chosen for any one triclinic species is still very considerable.

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