Difference between revisions of "Stereographic projection"
From Online Dictionary of Crystallography
(Ru, internal link) |
BrianMcMahon (talk | contribs) m (Tidied translations.) |
||
| (One intermediate revision by the same user not shown) | |||
| Line 1: | Line 1: | ||
| − | < | + | <font color="blue">Projection stéréographique</font> (''Fr''). <font color="red">Stereografische Projektion</font> (''Ge''). <font color="black">Proiezione stereographica</font> (''It''). <font color="purple">ステレオ投影</font> (''Ja''). <font color="brown">Стереографическая проекция</font> (''Ru''). <font color="green">Proyección estereográfica</font> (''Sp''). |
| − | The stereographic projection is a projection of points from the surface of a sphere on to its equatorial plane. The importance of the stereographic projection in crystallography derives from the fact that a set of points on the surface of the sphere provides a complete representation of a set of directions in three- dimensional space, the directions being the set of lines from the centre of the sphere to the set of points. The most common application is that of representing the angles between the faces of a crystal, and the symmetry relations between them. | + | The stereographic projection is a projection of points from the surface of a sphere on to its equatorial plane. The importance of the stereographic projection in crystallography derives from the fact that a set of points on the surface of the sphere provides a complete representation of a set of directions in three-dimensional space, the directions being the set of lines from the centre of the sphere to the set of points. The most common application is that of representing the angles between the faces of a crystal, and the symmetry relations between them. |
== See also == | == See also == | ||
| − | *[[ | + | *[[Gnomonic projection]] |
| − | *[http://www.iucr.org/education/pamphlets/11/full-text | + | *[http://www.iucr.org/education/pamphlets/11/full-text The stereographic projection] (Teaching Pamphlet No. 11 of the International Union of Crystallography) |
[[Category: Morphological crystallography]] | [[Category: Morphological crystallography]] | ||
Latest revision as of 08:52, 20 November 2017
Projection stéréographique (Fr). Stereografische Projektion (Ge). Proiezione stereographica (It). ステレオ投影 (Ja). Стереографическая проекция (Ru). Proyección estereográfica (Sp).
The stereographic projection is a projection of points from the surface of a sphere on to its equatorial plane. The importance of the stereographic projection in crystallography derives from the fact that a set of points on the surface of the sphere provides a complete representation of a set of directions in three-dimensional space, the directions being the set of lines from the centre of the sphere to the set of points. The most common application is that of representing the angles between the faces of a crystal, and the symmetry relations between them.
See also
- Gnomonic projection
- The stereographic projection (Teaching Pamphlet No. 11 of the International Union of Crystallography)