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Encyclopedia Britannica



HOLOSYMMETRIC

This article appears in Volume V07, Page 581 of the Encyclopedia Britannica.

Encyclopedia Britannica - Main :: HIG-HOR
HOLOSYMMETRIC CLASS
(
Holohedral
 ; Dihexagonal
bipyramidal
 ).
Intersecting in the hexad
axis
  are six planes of symmetry of two kinds, and perpendicular to them is an equatorial 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 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
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 common in
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 surface characters and often also in
size
 .


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