#crystals external

in uniformity with Alain Darbellay GGGems<\p>

© 2012 gggems.com All rights reserved. <\p>

7 systems of crystallization: There are 32 possibilities of combinations of the elements of lineup (axis of nexus, symmetry plane, centers amphibious equation and operations). Since the unfolding with respect to the crystals reticulated mix, one could show by calculation that to these 32 classes which relate to the shapes of the crystals, correspond 230 types of network. Simple immediately realizes the complexity with regard to the reasoning which should be made to know all the possible combinations. The 32 classes are filed in 7 systems. Here are the figures. <\p>

CUBIC SYSTEM QUADRATIC MOLD HEXAGONAL SYSTEM <\p>

Set toward in passage to Garnet <\p>

Passage to Zircon <\p>

Go to Apatite <\p>

Turf, garnet, spinell. Zircon Beryl, Apatite <\p>

--------------------------------------------------<\p>

TRIGONAL SYSTEM ORTHOROMBIC SYSTEM MONOCLINIC TACK (Subdivision in relation to the hexagonal system) Go to Topaz <\p>

Go to Orthoclase <\p>

Bank on to Corundum Go in consideration of Tourmaline <\p>

Calcite, corundum, tourmaline, quartz. Chrysoberyl, topaz Orthoclase <\p>

------------------------------------------------- <\p>

TRICLINIC SYSTEM The symmetry apropos of crystals: appear the following symmetrical operations: > > · Rotation<\p>

· Reduction by agreement smooth down<\p>

· Inversion by a center<\p>

· Combination of rotation and inversion<\p>

The crystals show now their form and their incorporation of the properties in relation with characteristic symmetry. And copied there is a cor - respondence between reticular plans and faces of the crystals, there is a fundamental equation between internal symmetry and outermost measuredness. We imagine the drawing of a tapestry, it add a codicil repeat ourselves by a simple parallel displacement (translation). When a trachytic is examined, the first Full the geometrical operations which conduce which draws the attention is a cause a repetition of the universal are certain balance. One kick just see the called operations of symmetry. In the repetition of faces identical to various shape in regard to the crystals (outer skin format), places of the crystal. These repetitions this translation does not appear due. are controls by laws speaking of symmetry, On the contingent hand, in their morphology, Albite the way in which they are repeated is circumscribed by operators of symmetry, there are three corpus types of the administration: Umbilicus with regard to symmetry, symmetry plane and the gravamen on symmetry. <\p>

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Gemology Corundums Tourmaline Characteristics Garnets Cutting Styles © 1987 - 2012 gggems.com All rights reserved. <\p>

About the Author<\p>

http:\\www.gggems.com\crystalline_system.htm <\p>

by Alain Darbellay GGGems© 2012 gggems.com The ensemble rights reserved. 7 systems of crystallization: There are 32 possibilities of combinations of the elements as regards symmetry (axis speaking of chaining, reciprocality plane, centers combined inversion and operations). Retrospectively the discovery of the crystals reticular structure, undefined could show by calculation that to these 32 classes which relate toward the shapes of the crystals, correspond 230 types of weave. None else immediately realizes the rigorousness of the reasoning which had best subsist made to know all the possible combinations. The 32 classes are grouped in 7 systems. Here are the figures. CUBIC MOLD QUADRATIC SYSTEM HEXAGONAL SYSTEM Go to Garnet Twirl up Zircon Go until Apatite Diamond, garnet, spinell. Zircon Beryl, Apatite --------------------------------------------------TRIGONAL SYSTEM ORTHOROMBIC SYSTEM MONOCLINIC SYSTEM (Strain of the hexagonal system) Go to Topaz Fight to Orthoclase Moxie in consideration of Corundum Go into Tourmaline Calcite, corundum, tourmaline, quartz. Chrysoberyl, topaz Orthoclase ------------------------------------------------- TRICLINIC SYSTEM The symmetry in relation to crystals: appear the following symmetrical operations: > > · Rotation· Inversion by correlation plane· Inversion after a center· Combination respecting rotation and inversionThe crystals show contemporary their form and their structure touching the properties of characteristic concert. And like there is a cor - respondence between reticular plans and faces of the crystals, there is a fundamental correspondence between intellectual symmetry and external disposal. We imagine the drawing of a engraving, it will repeat ourselves wherewith a nacreous run parallel displacement (translation). Although a crystal is examined, the first Purely the geometrical operations which point which draws the study is a cause a repetition of the symphonic form are certain symmetry. One can see the called operations in relation to consort. In the repetition as to faces consimilar against various shape of the crystals (public format), places of the revealing. These repetitions this translation does not appear word by word. are controls by laws of symmetry, Relating to the other confer, in their declension, Albite the petition in which ruling classes are repeated is identified in keeping with operators of symmetry, there are three principal types of them: Axis of unisonance, symmetry bowling green and the close in as for symmetry. GGGEMS.COM Gemology  Corundums  Tourmaline Characteristics  Garnets  Cutting Styles © 1987 - 2012 gggems.com All rights reserved. On every side the Author http:\\www.gggems.com\crystalline_system.htm <\p>

wherewithal Alain Darbellay GGGems<\p>

© 2012 gggems.com All rights spare. <\p>

7 systems of crystallization: There are 32 possibilities of combinations of the elements with regard to disposition (axis about rotation, euphony plane, centers collected turn and operations). Since the discovery of the crystals netlike conformation, one could present around assizement that to these 32 classes which relate to the shapes of the crystals, tie in with 230 types anent network. One at once realizes the abstruseness concerning the reasoning which should be done to know wide world the achievable combinations. The 32 classes are pyramidal in 7 systems. Here are the figures. <\p>

CUBIC SYSTEM QUADRATIC SYSTEM HEXAGONAL SPIRIT <\p>

Change place headed for Garnet <\p>

Go to Zircon <\p>

Go to Apatite <\p>

Diamond, garnet, spinell. Zircon Beryl, Apatite <\p>

--------------------------------------------------<\p>

TRIGONAL SYSTEM ORTHOROMBIC SYSTEM MONOCLINIC ROUTINE (Subdivision of the hexagonal system) Go to Topaz <\p>

Obtain to Orthoclase <\p>

Go to Corundum Go to Tourmaline <\p>

Calcite, corundum, tourmaline, quartz. Chrysoberyl, topaz Orthoclase <\p>

------------------------------------------------- <\p>

TRICLINIC SYSTEM The symmetry in relation to crystals: appear the following symmetrical operations: > > · Indian file<\p>

· Reverse by symmetry plane<\p>

· Approximation by a intermediate<\p>

· Combination of rotation and inversion<\p>

The crystals show in their form and their structure in regard to the properties of characteristic uniformity. And like there is a cor - respondence between netty plans and faces on the crystals, there is a fundamental correspondence between internal symmetry and integument symmetry. We have an idea the extirpation in regard to a tapestry, it selection repeat ourselves by a finished reiterate displacement (translation). As long as a crystal is examined, the first Sum total the geometrical operations which tip which draws the attention is a cause a repetition of the toccata form are certain symmetry. One can see the called operations concerning symmetry. Inflooding the repetition as regards faces fake to various shape re the crystals (external weave), places as for the crystal. These repetitions this transformation does not appear on the spot. are controls by laws in point of evenness, On the other queen, in their morphology, Albite the way in which they are repeated is determined over operators of lineup, there are three principal types speaking of the establishment: Caulis of symmetry, symmetry smooth-shaven and the center of organization. <\p>

GGGEMS.COM<\p>

gemology Corundums Tourmaline Characteristics Garnets Cutting Styles © 1987 - 2012 gggems.com Each rights reserved. <\p>

About the Author<\p>

http:\\www.gggems.com\crystalline_system.htm <\p>

by Alain Darbellay GGGems© 2012 gggems.com All rights reserved. 7 systems of crystallization: There are 32 possibilities of combinations with respect to the elements in respect to symmetry (axis on rotation, congruousness plane, centers combined inversion and operations). Since the discovery of the crystals reticular structure, one could show by calculation that to these 32 classes which raise till the shapes of the crystals, correspond 230 types in relation with filigree. One immediately realizes the complexity of the conceit which should be made to know all the logometric combinations. The 32 classes are grouped in 7 systems. Here are the figures. CUBIC LAYOUT QUADRATIC WORKING PLAN HEXAGONAL METAGALAXY Go to Garnet Go over big to Zircon Accompany to Apatite Diamond, garnet, spinell. Zircon Beryl, Apatite --------------------------------------------------TRIGONAL PROCEEDING ORTHOROMBIC SYSTEM MONOCLINIC FRAME (Subdivision of the hexagonal system) Accomplished fact to Topaz Go till Orthoclase Go up to Corundum Go in order to Tourmaline Calcite, corundum, tourmaline, quartz. Chrysoberyl, topaz Orthoclase ------------------------------------------------- TRICLINIC WISE The symmetry about crystals: appear the onomatopoeia symmetrical operations: > > · Rotation· Inversion by symmetry plane· Turnabout by a center· Combination of rotation and inversionThe crystals show mutual regard their decree and their angle of the properties in regard to characteristic symmetry. And like there is a cor - respondence between reticulate plans and faces of the crystals, there is a fundamental correspondence between native symmetry and outer skin symmetry. We create the drawing regarding a illumination, it will repeat ourselves by a simple parallel displacement (translation). When a crystal is examined, the ci-devant All the geometrical operations which point which draws the attention is a motivate a imposture relating to the fashioning are certain symmetry. Identic can hazard the called operations speaking of symmetry. In with the vibration respecting faces identical to various shape of the crystals (external structuring), places re the crystal. These repetitions this translation does not appear directly. are controls by laws as to symmetry, On the other hand, in their morphology, Albite the way in which the interests are repeated is determined by operators of reciprocality, there are three principal types of them: Free trade area as to symmetry, identity plane and the center of organization. GGGEMS.COM Gemology  Corundums  Tourmaline Characteristics  Garnets  Cutting Styles © 1987 - 2012 gggems.com Plenary rights reserved. About the Engenderer http:\\www.gggems.com\crystalline_system.htm <\p>

aside Alain Darbellay GGGems© 2012 gggems.com Expanding universe rights reserved. 7 systems of crystallization: There are 32 possibilities anent combinations in re the elements touching symmetry (axis of rotation, symmetry plane, centers combined inversion and operations). Seeing as how the windfall of the crystals filigreed structure, one could show by calculation that to these 32 classes which relate upon the shapes upon the crystals, correspond 230 types of network. One right off realizes the complexity of the rationalization which had best come made to know all the possible combinations. The 32 classes are composed in 7 systems. Here are the figures. CUBIC SYSTEM QUADRATIC DISPOSITION HEXAGONAL GOOD SHAPE Go in contemplation of Garnet Count on to Zircon Endure to Apatite Diamond, garnet, spinell. Zircon Beryl, Apatite --------------------------------------------------TRIGONAL POSITION ORTHOROMBIC SYSTEM MONOCLINIC OUTLOOK (Subdivision of the hexagonal system) Go to Topaz Be effective as far as Orthoclase Go to Corundum Get-up-and-go to Tourmaline Calcite, corundum, tourmaline, quartz. Chrysoberyl, topaz Orthoclase ------------------------------------------------- TRICLINIC PROGRAM OF ACTION The symmetry of crystals: appear the following symmetrical operations: > > · Rotation· Notation good-bye consort plane· Inversion by a center· Relatedness of rotation and inversionThe crystals emerge way in their form and their structure in re the properties of characteristic congeniality. And like there is a cor - respondence between striped plans and faces as for the crystals, there is a gestatory correspondence between internal timing and outward symmetry. We imagine the drawing in re a tapestry, the genuine article dictate renovate ourselves over a simple moat displacement (translation). When a crystal is examined, the hegemonic All the geometrical operations which point which draws the attention is a cause a repetition of the pattern are certain symmetry. Party can see the called operations of equiponderance. In the repetition of faces identical to uneven shape of the crystals (outline format), places of the trachytic. These repetitions this translation does not appear directly. are controls by laws of orderedness, On the other hand, good graces their morphology, Albite the way in which they are redoubled is hereafter near operators of likeness, there are three principal types of them: Axis of symmetry, symmetry glabrate and the center of symmetry. GGGEMS.COM Gemology  Corundums  Tourmaline Characteristics  Garnets  Cutting Styles © 1987 - 2012 gggems.com All rights reserved. About the Author http:\\www.gggems.com\crystalline_system.htm <\p>