The complete quadrilateral in crystallography and a graphical method for determining complex indices

Abstract

Since, in general, to define a chrystal form four faces are required and sufficient, it is clear that with three given points, no matter what triangle their poles constitute, further development of the form is impossible, and it is absolutely necessary to know the position of some fourth face. In general, the choice of such faces depends on our preference, and I will consider the case when these four points constitute the vertices of two adjacent triangles that share a common side.

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