Essentials of Crystallography

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} Elements of Symmetry. Here the six secondary planes and the six axes of binary symmetry are lost. The elements of symmetry which remain are, there- fore, three principal planes parallel to the planes of the crystallographic axes, four trigonal axes, and also the center of symmetry. The three axes parallel to the crystallographic axes now possess binary symmetry. Figure 99 shows these elements as well as the application of the hemihedrism, which will be discussed in the next paragraph.
Fig. 99
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Pyritohedral hemihedrism 2 . In this class the forms may be assumed as derived from the holohedral types by the expansion of the faces lying wholly within alternate spaces formed by the intersection of the secondary planes of symmetry, page 18. Such 1) Called by Dana the pyritohedral group.
2) Also termed pentagonal or parallel-face hemihedrism, having reference to the pentagonal outline and parallel arrangement of the faces, respectively.
DYAKISDODECAHEDRAL CLASS.
33 faces or pairs of faces are then symmetrical to the three principal planes of symmetry, figure 99.


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