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All quartz & gemstone have a regular, repeating, 3-dimensional arrangement of bonded atoms. Basically it can sum up into the following 7 types of sturcture.
 1. Isometric System/
    Cubic system

3 equal axes at right angle to each others
9 planes of symmetry
13 axes of symmetry
1 center of symmetry
Ideal crystal form: Cube, Octahedron & Dodecahedron.
e.g. Diamond, Garnet, Fluorite, Spinel



Garnet
 2. Tetragonal System

3 equal axes at right angle to each others
5 planes of symmetry
5 axes of symmetry
1 center of symmetry
Ideal crystal form: Tetragonal prism with square base or bipyramid
e.g. Zircon



Zircon

 3. Hexagonal System


 4.  Trigonal System

Hexagonal System Trigonal System
3 horizontal axes are equal in length & cut each others at 120°, all perpendicular to the vertical axis of unequal length
7 planes of symmetry 3 planes of symmetry
7 axes of symmetry 4 axes of symmetry
Ideal crystal form: Hexagonal prism with 6-sided base or bipyramid.
Ideal crystal form: Rhombohombic, Trigonal prism on triangular base
1 center of symmetry
Beryl Quartz, Corundum, Tourmaline





Quartz
 5. Triclinic System 3 axes of unequal length, all inclined to each others
0 planes of symmetry
0 axes of symmetry
1 center of symmetry
Ideal crystal form: Prism, Pinacoids, Domes
e.g. Turquoise


Turquoise
 6. Monoclinic System 3 axes of unequal length, 2 included, 1 perpendicular to their plane
1 planes of symmetry
1 axes of symmetry
1 center of symmetry
Ideal crystal form: Prisms, Pinacoids
e.g. Jadeite, Nephrite


Gypsum
 7. Rhorhombic System/
    Orthorhombic System
3 axes of unequal length, all perpendicular to each others
3 planes of symmetry
3 axes of symmetry
1 center of symmetry
Ideal crystal form: Prism on rectangular base or bipyramid
e.g. Topaz, Chrysoberyl, Peridot


Peridot

   
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