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HOLOSYMMETRIC CLASS (See also:Holohedral; Dihexagonal See also:bipyramidal) . Intersecting in the hexad See also:axis are six planes of symmetry of two kinds, and perpendicular to them is an See also:equatorial See also:plane of symmetry . Perpendicular to the hexad axis are six dyad axes of two kinds and each perpendicular to a See also:vertical plane of symmetry . The seven See also:simple forms are: Dihexagonal bipyramid, bounded by twenty-four scalene triangles (fig . 77; v in fig . 8o) . The indices are {2131}, &c., or in See also:general {hikl} . This See also:form may be considered as a See also:combination of two scalenohedra, a See also:direct and an inverse . Hexagonal bipyramid of the first See also:order, bounded by twelve isosceles triangles (fig . 70; p and u in fig . 8o); indices 110111, (202I} . . . (holll) . The hexagonal bipyramid so See also:common in See also:quartz is geometrically similar to this form, but it really is a combination of two rhombohedra, a direct and an inverse, the faces of whit.h differ in See also:surface characters and often also in See also:size . |
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