Math 2.0

Differential geometry Concept

Orientable surface

Builds on Tangent plane and normal vector of a surface

Summary

A surface in space is orientable if one can choose a unit normal vector at each point in a continuous way. The choice must be continuous over the whole surface. Such a choice is an orientation. The Möbius strip is the standard surface that has no orientation.

Reading path

To understand this page from the ground up, read these 3 pages in order. The foundations come first.

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Parametrised surface, concept, no evidence levelParametrised surfaceconceptTangent plane and normal vector of a surface, concept, no evidence levelTangent plane and nor…conceptOrientable surface, concept, no evidence levelOrientable surfaceconcept
Each page uses the pages above it. The colour of the bar on a box shows how strong the evidence is, and the box also gives it as text. The list has the same pages.
  • no evidence level
  1. Parametrised surface concept
  2. Tangent plane and normal vector of a surface concept
  3. Orientable surface concept

Where this leads

9 pages build on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Orientability, Orientable surfaces
About this page
Tag0TD904MG06
URIm2://0TD904MG06
Aliasestwo-sided-surface
Kindconcept
WritingW1 stated
MSC53A05
UsesTangent plane and normal vector of a surface

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  • edge instance_of in: at least two examples (0 of 2)
  • edge not_instance_of in: at least one non-example (0 of 1)
  • edge specializes both: the more general notions and the special cases (0 of 1)

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