Construction of edges from symbols in hypohexagonal crystals

Abstract

The article raises the question of constructing edges from symbols in crystals for complexes of hypohexonal type — a question that has not yet been raised by anyone. It is resolved, of course, extremely simply and moreover in a manner completely analogous to its resolution for the cubic type. I have shown that in complexes of the hypohexagonal type, the symbols of edges are such that, in the particular case of a hypohexagonal-isotropic complex, the indices of the edges and perpendicular faces are the same, as required by the theory of crystal systems (because in this case, the ellipsoid of the crystal system is a sphere).

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