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Difference between revisions of "Mesh"

From Online Dictionary of Crystallography

 
(modification after discussion with B. Souvignier)
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In a two-dimensional pattern possessing rotational symmetry, the [[Symmetry element|rotation points]] constitute the nodes of a net and divide the plane into regions that are called '''meshes'''. The number of meshes meeting at any rotation point equals twice the order of the rotation at that point.
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The term '''mesh''' is commonly used with two meanings:
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*In a two-dimensional pattern possessing rotational symmetry, the [[Symmetry element|rotation points]] constitute the nodes of a net and divide the plane into regions that are called ''meshes''. The number of meshes meeting at any rotation point equals twice the order of the rotation at that point.
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*A two-dimensional unit cell is also sometimes called a ''mesh''.
  
''N.B.'' The term '''mesh''' is sometimes ''improperly'' used to indicate a two-dimensional cell.  
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According to Loeb (1971), only the first use would be correct.
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== Reference ==
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Loeb, A.B. (1971). Color and symmetry. Wiley.
  
 
[[Category:Fundamental crystallography]]
 
[[Category:Fundamental crystallography]]

Revision as of 07:03, 25 April 2016

The term mesh is commonly used with two meanings:

  • In a two-dimensional pattern possessing rotational symmetry, the rotation points constitute the nodes of a net and divide the plane into regions that are called meshes. The number of meshes meeting at any rotation point equals twice the order of the rotation at that point.
  • A two-dimensional unit cell is also sometimes called a mesh.

According to Loeb (1971), only the first use would be correct.

Reference

Loeb, A.B. (1971). Color and symmetry. Wiley.