The
universe of forms exists from a source of numbers
all
our ground universe is built on forms and numbers...
Geometrical forms occur naturally in the mineral world. Minerals are arranged in a regular network of fixed points around which molecules, atoms or ions in a crystalline structure, vibrate.
The combinations
of atoms in crystal lattices are peculiarities that constitute the whole of
terrestrial minerals. There are also amorphous bodies in which atoms are distributed
in an unspecified way.
A crystal structure is a unique arrangement of atoms in a crystal. A crystal
stucture is composed of a unit cell, a set of atoms arranged in a particular
way ; which is periodically repeated in three dimensions on a lattice. The spacing
between unit cells in various directions is called its lattice parameters.**
| Halite is a mineral (NaCl) consisting of sodium chloride (rock salt). The lattice structure characteristic of a crystal of halite is on the cubic system. The parameter defining the unit cell of the crystal lattice of halite, is made up of three equal axes at right angles to each other. | ![]() |
** From Wikipedia encyclopedia
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Examples of minerals |
The regular arrangement of atoms in a crystal have been described by Bravais. He defined 7 crystal lattices that show their tridimensional periodicity in space.
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Bearers of numbers |
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halite
(NaCl) native
silver (Ag) diamond
(C) |
Diamond is a very pure form of carbon cristallising in the cubic system Cubic minerals are isotropic and include the cube, octahedron, the rhombic dodecahedron and the isocahedron |
Na Cl
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Beryl
: Al2Be3(Si6O18) Alpha quartz |
Hexagonal
crystal system |
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_Pyrolusite
: MnO2
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Amethyst
|
Rombohedral
system |
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| _Celestite _Topaze Sulphur |
orthorhombic
system |
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| _Jadeite Gypsum Malachite |
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| _Labradorite Turquoise |
triclinic
system |
Beryl
is highly appreciated in jewelery. The
gem varieties of beryl occur with inclusions of iron and chrome (green and blue
), lithium (pink), uranium (yellow)
The varieties are named as follow:
The
pale blue beryl is aquamarine
The
deep green one is emerald
The yellow one is heliodor
The pink one is morganite
This cyclosilicate mineral has a lattice structure with rings of SiO4 tetrahedrons linked by oxygen. The tetrahedral rings have a silicium atom as an inner centre and are bonded by beryllium atoms.
These elements are combined in geometrical volumes of an hexagonal shape so , we can say without drawing further conclusions that beryl carries in "its memory" some atomic numbers 4, 8, 13, 14 and also the hexagonal form related to the number 6.
Pantheon of the collective memory.