Euclidean isometry
Summary
A Euclidean isometry is a map of a Euclidean space to itself that keeps the distance between each two points. Translations, rotations and reflections are examples. The Euclidean isometries of form the Euclidean group.
Where this leads
15 pages build on this one.
- Reflection in a line or plane
- Euclidean group
- Classification of isometries of the plane
- Translation
- Rotation
- Wallace–Bolyai–Gerwien theorem
- Hadwiger's theorem
- Integral geometry
- Crystallographic group
- Euclidean geometry
- Hilbert's eighteenth problem
- Fundamental theorem of space curves
- Screw theory
- Givens rotation
- Bieberbach theorems
Further reading
- Web https://en.wikipedia.org/wiki/Euclidean_plane_isometry, Formal definition
- Web https://en.wikipedia.org/wiki/Euclidean_group, lead section
About this page
| Tag | 0J1N3WTKM4 |
|---|---|
| URI | m2://0J1N3WTKM4 |
| Aliases | rigid-transformation, euclidean-transformation |
| Kind | concept |
| Writing | W0 stub |
| MSC | 51F20 |
| Specializes | Affine map |
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What links here
Special cases
Used by
- Reflection in a line or plane
- Euclidean group
- Classification of isometries of the plane
- Translation
- Rotation
- Wallace–Bolyai–Gerwien theorem
- Crystallographic group