# Representation of convex geometries by convex shapes

The classical example of convex geometry, a closure system with the anti-exchange axiom, is realized by a configuration of points in a $n$-dimensional space and convex hull operator, such example being called an affine convex geometry.
It was proved in 2005 by K. Kashiwabara et al. that every finite convex geometry is a subgeometry in some affine geometry, for some space dimension $n$.