Online Encyclopedia

PLAGIHEDRALI CLASS

Online Encyclopedia
Originally appearing in Volume V07, Page 576 of the 1911 Encyclopedia Britannica.
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PLAGIHEDRALI CLASS  (Plagihedral-hemihedral; Pentagonal icositetrahedral; Gyroidal 2) . In this class there are the full number of axes of symmetry (three tetrad, four triad and six dyad), but no planes of symmetry and no centre of symmetry . Pentagonal icositetrahedron (fig . 40) . This is the only

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simple form in this class which differs geometrically from those of the
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holosymmetric class . By suppressing either one or other set of alternate faces of the hexakis-octahedron two pentagonal icositetrahedra {hkl) and (khl) are derived . These are each bounded by twenty-four irregular Icositetrahedron . Dodecahedron . pentagons, and although similar to each other they are respectively right- and
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left-handed, one being the mirror image of the other; such similar but nonsuperposable forms are said to be enantiomorphous (evavrios, opposite, and µop¢$, form), and crystals showing such forms sometimes rotate the
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plane of polarization of plane-polarized
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light . Faces of a pentagonal icositetrahedron with high indices have been very rarely observed on crystals of
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cuprite, potassium chloride and ammonium chloride, but none of these are circular polarizing .

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