Completion of the derivation of canonical parallelohedra

Abstract

In the article "Parolleloëder in kanonischer Form und deren eindentige Beziehung zu Raumgittern” I developed the concept of parallelohedra in canonical form or simply canonical paradelohedra. I based this primarily on the property that their derivation from spatial lattices should be unambiguous. However, in this is article I examined only one aspect side of the question, related to the angular relationships of crystalline complexes, which, in accordance with the crystallographic law of limits, bring crystalline complexes in general closer to ideal types. These relations characterize the distribution of angles, which determines the assignment of these types to certain types of syngony, with right angles playing a primary role (see the article).

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