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

 

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.

 

 

Bearers of numbers

halite (NaCl)

native silver (Ag)

native copper (Cu)

diamond (C)

gold (Au)



A native element is not combined with one or any other element.


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
Cl : ( 2+8+7)
Na : (2+8+1 )

Ag : 47

Cu : 29

C : 6

Au : 79

 


Beryl : Al2Be3(Si6O18)

Graphite : C

Alpha quartz

Hexagonal crystal system
Straight prism on an hexagonal base



_Pyrolusite : MnO2

_Rutile :
TiO2


 


Tetragonal system
Straight prism on a square base





Amethyst

Chalcedony

Cornelian


Quartz :
Si O2


Ruby :

Al2 O3 et chrome

 

Rombohedral system
The 6 faces of the solid are equal rhombuses

 

_Celestite

_Topaze

Sulphur

orthorhombic system
Straight prism on a rhombus base

 
_Jadeite

Gypsum

Malachite


monoclinic system
Slanting prism on a rhombus base

 

 
_Labradorite

Turquoise


triclinic system
Slanting prism on a base of any parallelepiped surface

 


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.