Point Configurations

Any finite set of points in real n-space forms a point configuration. Depending on the point of view, point configurations may be seen as convex polytopes plus possibly additional interior points.

The notion is closely related to hyperplane arrangements and oriented matroids.


  1. Anders Björner, Michel Las Vergnas, Bernd Sturmfels, Neil White, and Günter M. Ziegler: Oriented Matroids, Second Edition, Cambridge University Press (1999).