Geometry Nonlinear incidence geometry and closure systems Concept
Möbius plane
Summary
A Möbius plane is an incidence structure of points and circles that behaves like the circles on a sphere. Any three points lie on exactly one circle, and circles can touch. The classical example is the plane with one point at infinity, where circles and lines through infinity are the circles. Möbius planes are one of the three kinds of Benz plane, and they give the axiomatic setting of inversive geometry.
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| Tag | DED008EJVH |
|---|---|
| URI | m2://DED008EJVH |
| Kind | concept |
| Writing | W0 stub |
| MSC | 51B10 |
| Specializes | Benz plane |
| Same as |
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