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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 See also: simple See also: form in this class which differs geometrically from those of the See also: 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 See also: 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 See also: plane of polarization of plane-polarized See also: light
.
Faces of a pentagonal icositetrahedron with high indices have been very rarely observed on crystals of See also: cuprite, potassium chloride and ammonium chloride, but none of these are circular polarizing
.
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