The three axes of the isometric crystals are of equal length
and meet at right angles to one another. The system is
also sometimes referred to as the cubic system. Although
crystals falling under this system exhibit a great diversity
of shapes, they usually have square or triangular faces.
All crystals of the isometric system possess four 3-fold axes of symmetry, each
of which proceeds diagonally from corner to corner through the center of the
cubic unit cell. Crystals of the isometric system may also demonstrate up to
three separate 4-fold axes of rotational symmetry. These axes, if present, proceed
from the center of each face through the origin to the center of the opposite
face and correspond to the crystallographic axes. Furthermore crystals of the
isometric system may possess six 2-fold axes of symmetry which extend from the
center of each edge of the crystal through the origin to the center of the opposite
edge. Minerals of this system may demonstrate up to nine different mirror planes.
Minerals of this system tend to produce crystals of equidimensional or equant
habit. As a system containing about 12% of all minerals, it includes, halite, copper,
pyrite, silver, diamond, magnetite,
and garnet.
The
three crystallographic axes are all equal in length
and intersect at right angles (90°) to each
other.
4
three-fold symmetry
Commonly
show faces that are squares, equilateral triangles