Difference between revisions of "Mesh"

Latest revision as of 12:51, 16 November 2017

Masche (Ge). Trama (Sp).

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.

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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.
+<font color="red">Masche</font> (''Ge''). <font color="green">Trama</font> (''Sp'').
-''N.B.'' The term '''mesh''' is sometimes ''improperly'' used to indicate a two-dimensional cell.
+The term '''mesh''' is commonly used with two meanings:
+*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.
+*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.'' New York: Wiley-Interscience.
 [[Category:Fundamental crystallography]]