Completing 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 paradelohedrons, taking as the main thing the duality of the derivation of these parallelohedra from spatial lattices so that this conclusion was unambiguous. However, in this article I examined only one side of the question, related to these angular relationships of crystalline complexes, which, in accordance with the crystallographic law of limits, bring all crystallographic complexes in general closer to ideal types. They characterize the distribution of angles, which determines the belonging of these types to certain types of syngony, and in them the first role is played by right angles (see article).