The triplicity of the orientation of trigonaloid crystals
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Abstract
I mean to confine myself only to the simpler conclusions that I use in my lectures (see the article). From this triplicity we deduce the necessity of limitations for the principal numbers of the symbol of a complex, namely: for an octahedral structure, one cannot accept a number greater than 63 1/2°; for a hexahedral structure, only numbers within the range of 45° to 63 1/2° can be accepted; and for a dodecahedral structure, only numbers greater than 45°.
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