Online Encyclopedia

HOLOSYMMETRIC

Online Encyclopedia
Originally appearing in Volume V07, Page 581 of the 1911 Encyclopedia Britannica.
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HOLOSYMMETRIC  CLASS (

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Holohedral; Dihexagonal
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bipyramidal) . Intersecting in the hexad axis are six planes of symmetry of two kinds, and perpendicular to them is an
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equatorial
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plane of symmetry . Perpendicular to the hexad axis are six dyad axes of two kinds and each perpendicular to a vertical plane of symmetry . The seven
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simple forms are: Dihexagonal bipyramid, bounded by twenty-four scalene triangles (fig . 77; v in fig . 8o) . The indices are {2131}, &c., or in general {hikl} . This form may be considered as a combination of two scalenohedra, a
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direct and an inverse . Hexagonal bipyramid of the first order, bounded by twelve isosceles triangles (fig . 70; p and u in fig . 8o); indices 110111, (202I} . . .

(holll) . The hexagonal bipyramid so

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common in
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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
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surface characters and often also in
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size .

End of Article: HOLOSYMMETRIC
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HOLOSYMMETRIC CLASS (Holohedral (ass, whole)

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